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Finding the Third Proportional to 726,980 and 1,103,552

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Solution

The third proportional to 726,980 and 1,103,552 is: 1,675,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,980 : 1,103,552 = 1,103,552 : x
  2. Step 2: Convert to fraction form
    726,980/1,103,552 = 1,103,552/x
  3. Step 3: Cross multiply
    726,980x = 1,103,552 × 1,103,552
  4. Step 4: Simplify right side
    726,980x = 1,217,827,016,704
  5. Step 5: Solve for x
    x = 1,217,827,016,704/726,980
  6. Step 6: Final answer
    x = 1,675,186.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.