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So, I've been crunching some hypothetical numbers:

With the total amount of Switch sales we've gotten from Media Create: 

Japan sales so far are - 519,504 units

Now, let's take a look at the U.S.

Breath of the Wild sold around 437,000 units on launch, if we include Canada and Mexico: North American Launch numbers would be around 500,000 units for Breath of the Wild.

The attach rate I've been hearing so far fro Zelda and Switch is 85%. If this is true, that would put the Switch's NA Launch at: 588,235 units

You guys following me so far:

Japan (from launch to now) 519,504 units.

NA (just launch: and entirely hypothetical) 588,235 units.

Now, I'm going to make another hypothetical assumption: The one that the sales for the Switch in North America from March 4th to now are exactly the same amount as the Media Create figures we've gotten from Japan:

(61,998, 49,913, 78,441 units respectively)

Adding those to my hypothetical NA Switch launch gives us: 778,587 units.

So, overall, this is what I assume:

North America - 778,587

Japan - 519,504

I'll assume that Europe is the least selling of the 3 major regions at 450,000 units.

778,587 + 519,504 + 450,000 = 1,748,091 Nintendo Switch units sold worldwide (Again, entirely hypothetical)

We'll say that the rest of the world adds another 100k, which puts as at 1,848,091 units sold. 
That number, (if hypothetically true) would be as of March 26th, with 5 days to go.

Overall, I think that it's safe to say that 2 million shipment was an accurate number.