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Finding the Third Proportional to 486,710,727 and 742,324,959

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Solution

The third proportional to 486,710,727 and 742,324,959 is: 1,132,184,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,710,727 : 742,324,959 = 742,324,959 : x
  2. Step 2: Convert to fraction form
    486,710,727/742,324,959 = 742,324,959/x
  3. Step 3: Cross multiply
    486,710,727x = 742,324,959 × 742,324,959
  4. Step 4: Simplify right side
    486,710,727x = 551,046,344,754,351,680
  5. Step 5: Solve for x
    x = 551,046,344,754,351,680/486,710,727
  6. Step 6: Final answer
    x = 1,132,184,507.52

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Why These Related Problems?

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