Suppose that the population $\backslash ($ P$($t$)\backslash )$ of a country satisfies the differential equation $\backslash (\backslash$frac$\{$d P$\}\{$d t$\}=$k P$(900-$P$)\backslash )$ with $\backslash ($ k $\backslash )$ constant. Its population in $1960$ was $300$ million and was then growing at the rate of $1$ million per year. Predict this country's population for the year $2010.$

This country's population in $2010$ will be million.

$($Type an integer or decimal rounded to one decimal place as needed.$)$