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Finding the Third Proportional to 486,710,742 and 742,324,983

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Solution

The third proportional to 486,710,742 and 742,324,983 is: 1,132,184,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,710,742 : 742,324,983 = 742,324,983 : x
  2. Step 2: Convert to fraction form
    486,710,742/742,324,983 = 742,324,983/x
  3. Step 3: Cross multiply
    486,710,742x = 742,324,983 × 742,324,983
  4. Step 4: Simplify right side
    486,710,742x = 551,046,380,385,950,272
  5. Step 5: Solve for x
    x = 551,046,380,385,950,272/486,710,742
  6. Step 6: Final answer
    x = 1,132,184,545.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.