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Finding the Third Proportional to 729,650 and 1,165,614

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Solution

The third proportional to 729,650 and 1,165,614 is: 1,862,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,650 : 1,165,614 = 1,165,614 : x
  2. Step 2: Convert to fraction form
    729,650/1,165,614 = 1,165,614/x
  3. Step 3: Cross multiply
    729,650x = 1,165,614 × 1,165,614
  4. Step 4: Simplify right side
    729,650x = 1,358,655,996,996
  5. Step 5: Solve for x
    x = 1,358,655,996,996/729,650
  6. Step 6: Final answer
    x = 1,862,065.37

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.