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Finding the Third Proportional to 725,502 and 1,555,836

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Solution

The third proportional to 725,502 and 1,555,836 is: 3,336,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,502 : 1,555,836 = 1,555,836 : x
  2. Step 2: Convert to fraction form
    725,502/1,555,836 = 1,555,836/x
  3. Step 3: Cross multiply
    725,502x = 1,555,836 × 1,555,836
  4. Step 4: Simplify right side
    725,502x = 2,420,625,658,896
  5. Step 5: Solve for x
    x = 2,420,625,658,896/725,502
  6. Step 6: Final answer
    x = 3,336,483.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.