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Finding the Third Proportional to 726,576 and 1,079,496

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Solution

The third proportional to 726,576 and 1,079,496 is: 1,603,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,576 : 1,079,496 = 1,079,496 : x
  2. Step 2: Convert to fraction form
    726,576/1,079,496 = 1,079,496/x
  3. Step 3: Cross multiply
    726,576x = 1,079,496 × 1,079,496
  4. Step 4: Simplify right side
    726,576x = 1,165,311,614,016
  5. Step 5: Solve for x
    x = 1,165,311,614,016/726,576
  6. Step 6: Final answer
    x = 1,603,839.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.