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Finding the Third Proportional to 269,629,317 and 580,910,460

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Solution

The third proportional to 269,629,317 and 580,910,460 is: 1,251,558,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,629,317 : 580,910,460 = 580,910,460 : x
  2. Step 2: Convert to fraction form
    269,629,317/580,910,460 = 580,910,460/x
  3. Step 3: Cross multiply
    269,629,317x = 580,910,460 × 580,910,460
  4. Step 4: Simplify right side
    269,629,317x = 337,456,962,537,411,584
  5. Step 5: Solve for x
    x = 337,456,962,537,411,584/269,629,317
  6. Step 6: Final answer
    x = 1,251,558,867.16

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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.