If \( \frac{a}{b}=\frac{c}{d}=\frac{e}{f} \), prove that each ratio is equal to \[ \sqrt[3]{\fra...
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If \( \frac{a}{b}=\frac{c}{d}=\frac{e}{f} \), prove that each ratio is equal to
\[
\sqrt[3]{\frac{4 a c^{2}-3 c e^{3}+2 a c e}{4 b d^{2}-3 c f^{3}+2 b d f}}
\]
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