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Finding the Third Proportional to 725,479 and 1,509,812

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Solution

The third proportional to 725,479 and 1,509,812 is: 3,142,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,479 : 1,509,812 = 1,509,812 : x
  2. Step 2: Convert to fraction form
    725,479/1,509,812 = 1,509,812/x
  3. Step 3: Cross multiply
    725,479x = 1,509,812 × 1,509,812
  4. Step 4: Simplify right side
    725,479x = 2,279,532,275,344
  5. Step 5: Solve for x
    x = 2,279,532,275,344/725,479
  6. Step 6: Final answer
    x = 3,142,106.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.