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Finding the Third Proportional to 536,459,472 and 820,086,552

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Solution

The third proportional to 536,459,472 and 820,086,552 is: 1,253,667,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,459,472 : 820,086,552 = 820,086,552 : x
  2. Step 2: Convert to fraction form
    536,459,472/820,086,552 = 820,086,552/x
  3. Step 3: Cross multiply
    536,459,472x = 820,086,552 × 820,086,552
  4. Step 4: Simplify right side
    536,459,472x = 672,541,952,771,248,640
  5. Step 5: Solve for x
    x = 672,541,952,771,248,640/536,459,472
  6. Step 6: Final answer
    x = 1,253,667,775.24

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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.