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Finding the Third Proportional to 492,344,134 and 779,614,467

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Solution

The third proportional to 492,344,134 and 779,614,467 is: 1,234,499,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,344,134 : 779,614,467 = 779,614,467 : x
  2. Step 2: Convert to fraction form
    492,344,134/779,614,467 = 779,614,467/x
  3. Step 3: Cross multiply
    492,344,134x = 779,614,467 × 779,614,467
  4. Step 4: Simplify right side
    492,344,134x = 607,798,717,155,694,080
  5. Step 5: Solve for x
    x = 607,798,717,155,694,080/492,344,134
  6. Step 6: Final answer
    x = 1,234,499,763.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.