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Finding the Third Proportional to 725,976 and 1,127,793

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Solution

The third proportional to 725,976 and 1,127,793 is: 1,752,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,976 : 1,127,793 = 1,127,793 : x
  2. Step 2: Convert to fraction form
    725,976/1,127,793 = 1,127,793/x
  3. Step 3: Cross multiply
    725,976x = 1,127,793 × 1,127,793
  4. Step 4: Simplify right side
    725,976x = 1,271,917,050,849
  5. Step 5: Solve for x
    x = 1,271,917,050,849/725,976
  6. Step 6: Final answer
    x = 1,752,009.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.