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Finding the Third Proportional to 1,326,375 and 2,002,169.25

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Solution

The third proportional to 1,326,375 and 2,002,169.25 is: 3,022,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,375 : 2,002,169.25 = 2,002,169.25 : x
  2. Step 2: Convert to fraction form
    1,326,375/2,002,169.25 = 2,002,169.25/x
  3. Step 3: Cross multiply
    1,326,375x = 2,002,169.25 × 2,002,169.25
  4. Step 4: Simplify right side
    1,326,375x = 4,008,681,705,645.56
  5. Step 5: Solve for x
    x = 4,008,681,705,645.56/1,326,375
  6. Step 6: Final answer
    x = 3,022,283.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.