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Finding the Third Proportional to 1,448,280 and 2,025,744

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Solution

The third proportional to 1,448,280 and 2,025,744 is: 2,833,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,280 : 2,025,744 = 2,025,744 : x
  2. Step 2: Convert to fraction form
    1,448,280/2,025,744 = 2,025,744/x
  3. Step 3: Cross multiply
    1,448,280x = 2,025,744 × 2,025,744
  4. Step 4: Simplify right side
    1,448,280x = 4,103,638,753,536
  5. Step 5: Solve for x
    x = 4,103,638,753,536/1,448,280
  6. Step 6: Final answer
    x = 2,833,456.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.