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Finding the Third Proportional to 722,524 and 1,125,140

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Solution

The third proportional to 722,524 and 1,125,140 is: 1,752,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,524 : 1,125,140 = 1,125,140 : x
  2. Step 2: Convert to fraction form
    722,524/1,125,140 = 1,125,140/x
  3. Step 3: Cross multiply
    722,524x = 1,125,140 × 1,125,140
  4. Step 4: Simplify right side
    722,524x = 1,265,940,019,600
  5. Step 5: Solve for x
    x = 1,265,940,019,600/722,524
  6. Step 6: Final answer
    x = 1,752,107.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.