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Finding the Third Proportional to 269,619,696 and 580,770,522

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Solution

The third proportional to 269,619,696 and 580,770,522 is: 1,251,000,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,619,696 : 580,770,522 = 580,770,522 : x
  2. Step 2: Convert to fraction form
    269,619,696/580,770,522 = 580,770,522/x
  3. Step 3: Cross multiply
    269,619,696x = 580,770,522 × 580,770,522
  4. Step 4: Simplify right side
    269,619,696x = 337,294,399,224,152,512
  5. Step 5: Solve for x
    x = 337,294,399,224,152,512/269,619,696
  6. Step 6: Final answer
    x = 1,251,000,591.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.