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Finding the Third Proportional to 762,748 and 1,656,708

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Solution

The third proportional to 762,748 and 1,656,708 is: 3,598,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,748 : 1,656,708 = 1,656,708 : x
  2. Step 2: Convert to fraction form
    762,748/1,656,708 = 1,656,708/x
  3. Step 3: Cross multiply
    762,748x = 1,656,708 × 1,656,708
  4. Step 4: Simplify right side
    762,748x = 2,744,681,397,264
  5. Step 5: Solve for x
    x = 2,744,681,397,264/762,748
  6. Step 6: Final answer
    x = 3,598,411.79

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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.