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Finding the Third Proportional to 726,986 and 1,103,561

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Solution

The third proportional to 726,986 and 1,103,561 is: 1,675,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,986 : 1,103,561 = 1,103,561 : x
  2. Step 2: Convert to fraction form
    726,986/1,103,561 = 1,103,561/x
  3. Step 3: Cross multiply
    726,986x = 1,103,561 × 1,103,561
  4. Step 4: Simplify right side
    726,986x = 1,217,846,880,721
  5. Step 5: Solve for x
    x = 1,217,846,880,721/726,986
  6. Step 6: Final answer
    x = 1,675,199.91

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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.