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Finding the Third Proportional to 725,228 and 1,019,478

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Solution

The third proportional to 725,228 and 1,019,478 is: 1,433,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,228 : 1,019,478 = 1,019,478 : x
  2. Step 2: Convert to fraction form
    725,228/1,019,478 = 1,019,478/x
  3. Step 3: Cross multiply
    725,228x = 1,019,478 × 1,019,478
  4. Step 4: Simplify right side
    725,228x = 1,039,335,392,484
  5. Step 5: Solve for x
    x = 1,039,335,392,484/725,228
  6. Step 6: Final answer
    x = 1,433,115.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.