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Finding the Third Proportional to 322,577,914 and 707,861,456

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Solution

The third proportional to 322,577,914 and 707,861,456 is: 1,553,323,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,577,914 : 707,861,456 = 707,861,456 : x
  2. Step 2: Convert to fraction form
    322,577,914/707,861,456 = 707,861,456/x
  3. Step 3: Cross multiply
    322,577,914x = 707,861,456 × 707,861,456
  4. Step 4: Simplify right side
    322,577,914x = 501,067,840,890,439,936
  5. Step 5: Solve for x
    x = 501,067,840,890,439,936/322,577,914
  6. Step 6: Final answer
    x = 1,553,323,458.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.