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Finding the Third Proportional to 725,477 and 1,569,151

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Solution

The third proportional to 725,477 and 1,569,151 is: 3,393,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,477 : 1,569,151 = 1,569,151 : x
  2. Step 2: Convert to fraction form
    725,477/1,569,151 = 1,569,151/x
  3. Step 3: Cross multiply
    725,477x = 1,569,151 × 1,569,151
  4. Step 4: Simplify right side
    725,477x = 2,462,234,860,801
  5. Step 5: Solve for x
    x = 2,462,234,860,801/725,477
  6. Step 6: Final answer
    x = 3,393,953.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.