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Finding the Third Proportional to 643,704 and 945,850

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Solution

The third proportional to 643,704 and 945,850 is: 1,389,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,704 : 945,850 = 945,850 : x
  2. Step 2: Convert to fraction form
    643,704/945,850 = 945,850/x
  3. Step 3: Cross multiply
    643,704x = 945,850 × 945,850
  4. Step 4: Simplify right side
    643,704x = 894,632,222,500
  5. Step 5: Solve for x
    x = 894,632,222,500/643,704
  6. Step 6: Final answer
    x = 1,389,819.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.