The distance between two cities $A$ and $B$ in a map is $7.5 \mathrm{~cm}$. The scale taken for drawing this map is $1 \mathrm{~cm}=1,50,000 \mathrm{~m}$. The actual distance between $\mathrm{A}$ and $\mathrm{B}$ is _______ $\mathrm{km}$.
(1) 1125000
(2) $\quad 20000$
(3) $\quad 200$
(4) 1125