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Finding the Third Proportional to 531,821,234 and 816,942,531

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Solution

The third proportional to 531,821,234 and 816,942,531 is: 1,254,923,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,821,234 : 816,942,531 = 816,942,531 : x
  2. Step 2: Convert to fraction form
    531,821,234/816,942,531 = 816,942,531/x
  3. Step 3: Cross multiply
    531,821,234x = 816,942,531 × 816,942,531
  4. Step 4: Simplify right side
    531,821,234x = 667,395,098,956,685,952
  5. Step 5: Solve for x
    x = 667,395,098,956,685,952/531,821,234
  6. Step 6: Final answer
    x = 1,254,923,753.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.