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Finding the Third Proportional to 753,801.75 and 1,640,493

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Solution

The third proportional to 753,801.75 and 1,640,493 is: 3,570,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,801.75 : 1,640,493 = 1,640,493 : x
  2. Step 2: Convert to fraction form
    753,801.75/1,640,493 = 1,640,493/x
  3. Step 3: Cross multiply
    753,801.75x = 1,640,493 × 1,640,493
  4. Step 4: Simplify right side
    753,801.75x = 2,691,217,283,049
  5. Step 5: Solve for x
    x = 2,691,217,283,049/753,801.75
  6. Step 6: Final answer
    x = 3,570,192.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.