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Finding the Third Proportional to 1,966,781.25 and 3,037,517.25

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Solution

The third proportional to 1,966,781.25 and 3,037,517.25 is: 4,691,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,781.25 : 3,037,517.25 = 3,037,517.25 : x
  2. Step 2: Convert to fraction form
    1,966,781.25/3,037,517.25 = 3,037,517.25/x
  3. Step 3: Cross multiply
    1,966,781.25x = 3,037,517.25 × 3,037,517.25
  4. Step 4: Simplify right side
    1,966,781.25x = 9,226,511,044,047.56
  5. Step 5: Solve for x
    x = 9,226,511,044,047.56/1,966,781.25
  6. Step 6: Final answer
    x = 4,691,172.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.