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Finding the Third Proportional to 681,373.69 and 1,497,077.44

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Solution

The third proportional to 681,373.69 and 1,497,077.44 is: 3,289,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,373.69 : 1,497,077.44 = 1,497,077.44 : x
  2. Step 2: Convert to fraction form
    681,373.69/1,497,077.44 = 1,497,077.44/x
  3. Step 3: Cross multiply
    681,373.69x = 1,497,077.44 × 1,497,077.44
  4. Step 4: Simplify right side
    681,373.69x = 2,241,240,853,871.57
  5. Step 5: Solve for x
    x = 2,241,240,853,871.57/681,373.69
  6. Step 6: Final answer
    x = 3,289,297.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.