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I'm talking about at the same time in all regions (PS3 launched Nov. 11, 2006 in Japan, Nov. 17, 2006 in NA, and March 23, 2007 in EU). I've made a few calculations and came up with some interesting results.

From those dates, if the 360 launched at the same time with the PS3, the numbers are roughly as follows:

HARDWARE:

Japan:

PS3 - 3,801,755
360 - 1,007,505

America:

PS3 - 10,089,844
360 - 15,554,594

Others:

PS3 - 12139917
360 - 9,769,539

Total:

PS3 - 26,031,556
360 - 26,331,638



SOFTWARE:

Note: These numbers were made from matching titles in the official Xbox website, and then cross-referencing with this site the titles that were released before the PS3 launch dates. In other words, I subtracted all the sales from games released on the 360 before the PS3 launched. The only exception I made was Gears of War, which released two weeks before the PS3 released, because it was the only multi-million seller. Games that were released before the PS3 launch dates but received a later port were not subtracted.

Games:

condemned: criminal origins
cabela's alaskan adventures
cars
chromehounds
coolege hoops 2k6
contra
dead or alive 4
dead rising
dynasty warriors 5 empires
far cry instincts predator
fifa soccer 07
final fantasy 11
full auto
GUN
hitman: blood money
import tuner challenge
just cause
kameo: elements of power
lego star wars 2: the original trilogy
madden nfl 06
major league baseball 2k6
motoGP 06
nba 2k6
nba 2k7
nba live 06
nba live 07
need for speed most wanted
nhl 2k6
nhl 07
ninety-nine nights
over G fighters
phantasy star universe
prey
quake 4
ridge racer 6
rockstar games presents table tennis
rumble roses xx
saints row
samurai warriors 2
test drive unlimited
the godfather
the lord of the rings the battle for middle-earth 2
the outfit
tiger woods PGA tour 06
tiger woods PGA tour 07
tom clancy's ghost recon advanced warfighter
tomb raider: legend
tony hawk's american wasteland
top spin 2
world series of poker: tournament champions
xbox live arcade unplugged
x-men: the official game
2006 fifa world cup

Total:

PS3 - 165,604,033
360 - 240,531,709


Attach Rate:

PS3 - 6.36
360 - 9.13


Notes:

1.) The hardware sales are pretty much equal on the same time frames.
2.) On the 360 side, there was about 28 million pieces of software (total sales on games released before PS3 launch until now) and 6.5 million units of hardware that was sold prior to the PS3 launch.
3.) The 360 attach rate ever since the PS3 launch is actually higher than from it's actual launch (8.19).

It seems that 360 owners became even bigger software buyers after the PS3 launch. I find this a bit strange because the PS3 represents competition with largely the same games.. but I guess that's because before the PS3 launched, the 360 was competing with the PS2 with a lot of those games mentioned above.

Piracy seems to not be a factor at all (or it could be helping the 360, in some strange way) in the war between these two consoles, as even though the PS3 has no pirated games, it is way way behind on attach ratio despite the same amount of hardware.

Thoughts?

P.S. All numbers were taken only from this site, and should not be taken as 100% true. These are just rough estimations just for the purpose of seeing a different perspective on things. Also, I could be wrong on some of these numbers.