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In the given figure, \(CM\) and \(RN\) are respectively the medians of \(\Delta ABC\) and \(\Delta PQR\). If \(\Delta ABC \sim \Delta PQR\), prove that:
(i) \(\Delta AMC \sim \Delta PNR\)
(ii) \(\frac{CM}{RN} = \frac{AB}{PQ}\)
(iii) \(\Delta CMB \sim \Delta RNQ\)
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