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Finding the Third Proportional to 726,567 and 1,120,509

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Solution

The third proportional to 726,567 and 1,120,509 is: 1,728,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,567 : 1,120,509 = 1,120,509 : x
  2. Step 2: Convert to fraction form
    726,567/1,120,509 = 1,120,509/x
  3. Step 3: Cross multiply
    726,567x = 1,120,509 × 1,120,509
  4. Step 4: Simplify right side
    726,567x = 1,255,540,419,081
  5. Step 5: Solve for x
    x = 1,255,540,419,081/726,567
  6. Step 6: Final answer
    x = 1,728,044.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.