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Finding the Third Proportional to 765,042 and 1,681,068

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Solution

The third proportional to 765,042 and 1,681,068 is: 3,693,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,042 : 1,681,068 = 1,681,068 : x
  2. Step 2: Convert to fraction form
    765,042/1,681,068 = 1,681,068/x
  3. Step 3: Cross multiply
    765,042x = 1,681,068 × 1,681,068
  4. Step 4: Simplify right side
    765,042x = 2,825,989,620,624
  5. Step 5: Solve for x
    x = 2,825,989,620,624/765,042
  6. Step 6: Final answer
    x = 3,693,901.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.