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Finding the Third Proportional to 762,735 and 1,656,684

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Solution

The third proportional to 762,735 and 1,656,684 is: 3,598,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,735 : 1,656,684 = 1,656,684 : x
  2. Step 2: Convert to fraction form
    762,735/1,656,684 = 1,656,684/x
  3. Step 3: Cross multiply
    762,735x = 1,656,684 × 1,656,684
  4. Step 4: Simplify right side
    762,735x = 2,744,601,875,856
  5. Step 5: Solve for x
    x = 2,744,601,875,856/762,735
  6. Step 6: Final answer
    x = 3,598,368.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.