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Finding the Third Proportional to 725,496 and 1,555,824

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Solution

The third proportional to 725,496 and 1,555,824 is: 3,336,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,496 : 1,555,824 = 1,555,824 : x
  2. Step 2: Convert to fraction form
    725,496/1,555,824 = 1,555,824/x
  3. Step 3: Cross multiply
    725,496x = 1,555,824 × 1,555,824
  4. Step 4: Simplify right side
    725,496x = 2,420,588,318,976
  5. Step 5: Solve for x
    x = 2,420,588,318,976/725,496
  6. Step 6: Final answer
    x = 3,336,459.91

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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.