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Finding the Third Proportional to 516,823,586 and 794,393,499

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Solution

The third proportional to 516,823,586 and 794,393,499 is: 1,221,037,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,823,586 : 794,393,499 = 794,393,499 : x
  2. Step 2: Convert to fraction form
    516,823,586/794,393,499 = 794,393,499/x
  3. Step 3: Cross multiply
    516,823,586x = 794,393,499 × 794,393,499
  4. Step 4: Simplify right side
    516,823,586x = 631,061,031,253,463,040
  5. Step 5: Solve for x
    x = 631,061,031,253,463,040/516,823,586
  6. Step 6: Final answer
    x = 1,221,037,600.35

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