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It's within the realm of possibility. I'm predicting that the Switch will ship 14 million by the end of the fiscal year, but I don't know about 5 million by June 30th. The 3DS only shipped 4.32 million, and that got to 17 million by the end of its first full fiscal year.

On the other hand, the 3DS sold really badly in that quarter before the price cut, so... I'm gonna tentatively say yes to this prediction.