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This is the 3DS by year (FYE = fiscal year end)

FYE March 2011 - 3.61 million shipped
FYE March 2012 - 13.53 million shipped
FYE March 2013 - 13.95 million shipped
FYE March 2014 - 12.24 million shipped
FYE March 2015 - 8.73 million shipped
FYE March 2016 - 6.79 million shipped

Wii U is what? 14 million?

Probably tough since 3DS' peak year is below 14 million and that's with a $169.99 3DS model.

NS is almost certainly going to be $250 minimum, and it won't get cut to $169.99 overnight like the 3DS did.

I'd say 

FYE March 2017 - 2 million Nintendo Switch

FYE March 2018 - 9-10 million Nintendo Switch

Sounds more right to me based on what we know right now and giving Nintendo the benefit of the doubt in a few areas.