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Finding the Third Proportional to 725,760 and 1,128,384

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Solution

The third proportional to 725,760 and 1,128,384 is: 1,754,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,760 : 1,128,384 = 1,128,384 : x
  2. Step 2: Convert to fraction form
    725,760/1,128,384 = 1,128,384/x
  3. Step 3: Cross multiply
    725,760x = 1,128,384 × 1,128,384
  4. Step 4: Simplify right side
    725,760x = 1,273,250,451,456
  5. Step 5: Solve for x
    x = 1,273,250,451,456/725,760
  6. Step 6: Final answer
    x = 1,754,368.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.