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Finding the Third Proportional to 725,216 and 1,555,416

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Solution

The third proportional to 725,216 and 1,555,416 is: 3,335,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,216 : 1,555,416 = 1,555,416 : x
  2. Step 2: Convert to fraction form
    725,216/1,555,416 = 1,555,416/x
  3. Step 3: Cross multiply
    725,216x = 1,555,416 × 1,555,416
  4. Step 4: Simplify right side
    725,216x = 2,419,318,933,056
  5. Step 5: Solve for x
    x = 2,419,318,933,056/725,216
  6. Step 6: Final answer
    x = 3,335,997.73

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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.