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Finding the Third Proportional to 869,747.81 and 1,327,117.31

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Solution

The third proportional to 869,747.81 and 1,327,117.31 is: 2,025,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,747.81 : 1,327,117.31 = 1,327,117.31 : x
  2. Step 2: Convert to fraction form
    869,747.81/1,327,117.31 = 1,327,117.31/x
  3. Step 3: Cross multiply
    869,747.81x = 1,327,117.31 × 1,327,117.31
  4. Step 4: Simplify right side
    869,747.81x = 1,761,240,361,137.22
  5. Step 5: Solve for x
    x = 1,761,240,361,137.22/869,747.81
  6. Step 6: Final answer
    x = 2,025,001.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.