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If the ratio of $m$ to $n$ is $3$ to $4$, the ratio of $p$ to $n$ is $1$ to $2$, then what is the ratio of $m$ to $p$?

$\text{6 to 1}$

$\text{3 to 2}$

$\text{1 to 1}$

$\text{3 to 1}$

$\text{1 to 2}$