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Finding the Third Proportional to 730,974.38 and 1,129,661.44

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Solution

The third proportional to 730,974.38 and 1,129,661.44 is: 1,745,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,974.38 : 1,129,661.44 = 1,129,661.44 : x
  2. Step 2: Convert to fraction form
    730,974.38/1,129,661.44 = 1,129,661.44/x
  3. Step 3: Cross multiply
    730,974.38x = 1,129,661.44 × 1,129,661.44
  4. Step 4: Simplify right side
    730,974.38x = 1,276,134,963,374.57
  5. Step 5: Solve for x
    x = 1,276,134,963,374.57/730,974.38
  6. Step 6: Final answer
    x = 1,745,799.86

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Why These Related Problems?

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