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Finding the Third Proportional to 516,823,920 and 794,394,156

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Solution

The third proportional to 516,823,920 and 794,394,156 is: 1,221,038,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,823,920 : 794,394,156 = 794,394,156 : x
  2. Step 2: Convert to fraction form
    516,823,920/794,394,156 = 794,394,156/x
  3. Step 3: Cross multiply
    516,823,920x = 794,394,156 × 794,394,156
  4. Step 4: Simplify right side
    516,823,920x = 631,062,075,086,952,320
  5. Step 5: Solve for x
    x = 631,062,075,086,952,320/516,823,920
  6. Step 6: Final answer
    x = 1,221,038,830.96

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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.