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Switch has sold 396k so far this quarter, with 7 weeks left to go.
Last quarter, total sales: 475k
Last quarter, first six weeks: 285k

Since the Switch shipped 520k for Q1 FY3/2018, we can probably expect shipments of at least 700k this quarter, assuming they ship an average of at least 45k for the remaining seven weeks.

Judging from the July NPD, the Switch saw a more modest increase in shipments in the rest of the world. In the US, it went from an average of 43k per week to 55k per week. (This is a conservative estimate, since post-Splatoon weekly sales would average 68k) If we compare that against shipments, we can probably expect at least 800k in shipments to the Americas, and 750k everywhere else.

So the Switch can at least reach 2.25 million in shipments this quarter, with the potential to do much higher numbers if the Japanese weekly sales actually indicate significantly increased production. (70k average in Japan, 68k average in US)

Best case scenario:
Japan: 890k
Americas: 950k
Other: 880k
WW: 2.72M