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Finding the Third Proportional to 678,162 and 1,025,976

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Solution

The third proportional to 678,162 and 1,025,976 is: 1,552,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,162 : 1,025,976 = 1,025,976 : x
  2. Step 2: Convert to fraction form
    678,162/1,025,976 = 1,025,976/x
  3. Step 3: Cross multiply
    678,162x = 1,025,976 × 1,025,976
  4. Step 4: Simplify right side
    678,162x = 1,052,626,752,576
  5. Step 5: Solve for x
    x = 1,052,626,752,576/678,162
  6. Step 6: Final answer
    x = 1,552,175.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.