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Finding the Third Proportional to 516,823,584 and 794,393,496

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Solution

The third proportional to 516,823,584 and 794,393,496 is: 1,221,037,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,823,584 : 794,393,496 = 794,393,496 : x
  2. Step 2: Convert to fraction form
    516,823,584/794,393,496 = 794,393,496/x
  3. Step 3: Cross multiply
    516,823,584x = 794,393,496 × 794,393,496
  4. Step 4: Simplify right side
    516,823,584x = 631,061,026,487,101,952
  5. Step 5: Solve for x
    x = 631,061,026,487,101,952/516,823,584
  6. Step 6: Final answer
    x = 1,221,037,595.85

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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.