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Finding the Third Proportional to 701,642.25 and 1,515,454.31

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Solution

The third proportional to 701,642.25 and 1,515,454.31 is: 3,273,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,642.25 : 1,515,454.31 = 1,515,454.31 : x
  2. Step 2: Convert to fraction form
    701,642.25/1,515,454.31 = 1,515,454.31/x
  3. Step 3: Cross multiply
    701,642.25x = 1,515,454.31 × 1,515,454.31
  4. Step 4: Simplify right side
    701,642.25x = 2,296,601,773,274.85
  5. Step 5: Solve for x
    x = 2,296,601,773,274.85/701,642.25
  6. Step 6: Final answer
    x = 3,273,180.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.