It probably wouldn't have been "Nintendo 3" though. I mean, it's the Playstation 3, not the Sony 3
Would NES3 sound so bad though? Although to be honest if they were going to use a numerical naming system I think the Gamecube would have been the best place to start that. I mean, who wouldn't want a Gamecube 2, 3, 4 etc.?
Oh yeah, you're right. At that time it was Nintendo Entertainment System, or Famicom.
NES 3 sounds a bit better to me.
I like Famicom 3 though. Gamecube as well, but maybe they wouldn't want to keep the 'cube' part depending on the design.