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Finding the Third Proportional to 726,832 and 1,083,145

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Solution

The third proportional to 726,832 and 1,083,145 is: 1,614,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,832 : 1,083,145 = 1,083,145 : x
  2. Step 2: Convert to fraction form
    726,832/1,083,145 = 1,083,145/x
  3. Step 3: Cross multiply
    726,832x = 1,083,145 × 1,083,145
  4. Step 4: Simplify right side
    726,832x = 1,173,203,091,025
  5. Step 5: Solve for x
    x = 1,173,203,091,025/726,832
  6. Step 6: Final answer
    x = 1,614,132.41

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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.