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Finding the Third Proportional to 516,823,592 and 794,393,508

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Solution

The third proportional to 516,823,592 and 794,393,508 is: 1,221,037,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,823,592 : 794,393,508 = 794,393,508 : x
  2. Step 2: Convert to fraction form
    516,823,592/794,393,508 = 794,393,508/x
  3. Step 3: Cross multiply
    516,823,592x = 794,393,508 × 794,393,508
  4. Step 4: Simplify right side
    516,823,592x = 631,061,045,552,546,048
  5. Step 5: Solve for x
    x = 631,061,045,552,546,048/516,823,592
  6. Step 6: Final answer
    x = 1,221,037,613.84

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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.