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Finding the Third Proportional to 534,676 and 1,149,704

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Solution

The third proportional to 534,676 and 1,149,704 is: 2,472,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,676 : 1,149,704 = 1,149,704 : x
  2. Step 2: Convert to fraction form
    534,676/1,149,704 = 1,149,704/x
  3. Step 3: Cross multiply
    534,676x = 1,149,704 × 1,149,704
  4. Step 4: Simplify right side
    534,676x = 1,321,819,287,616
  5. Step 5: Solve for x
    x = 1,321,819,287,616/534,676
  6. Step 6: Final answer
    x = 2,472,187.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.