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Finding the Third Proportional to 496,017,234 and 816,744,691

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Solution

The third proportional to 496,017,234 and 816,744,691 is: 1,344,856,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,017,234 : 816,744,691 = 816,744,691 : x
  2. Step 2: Convert to fraction form
    496,017,234/816,744,691 = 816,744,691/x
  3. Step 3: Cross multiply
    496,017,234x = 816,744,691 × 816,744,691
  4. Step 4: Simplify right side
    496,017,234x = 667,071,890,276,685,440
  5. Step 5: Solve for x
    x = 667,071,890,276,685,440/496,017,234
  6. Step 6: Final answer
    x = 1,344,856,276.26

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.