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Finding the Third Proportional to 725,782 and 1,454,480

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Solution

The third proportional to 725,782 and 1,454,480 is: 2,914,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,782 : 1,454,480 = 1,454,480 : x
  2. Step 2: Convert to fraction form
    725,782/1,454,480 = 1,454,480/x
  3. Step 3: Cross multiply
    725,782x = 1,454,480 × 1,454,480
  4. Step 4: Simplify right side
    725,782x = 2,115,512,070,400
  5. Step 5: Solve for x
    x = 2,115,512,070,400/725,782
  6. Step 6: Final answer
    x = 2,914,803.72

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.