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Finding the Third Proportional to 815,850 and 1,175,067

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Solution

The third proportional to 815,850 and 1,175,067 is: 1,692,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,850 : 1,175,067 = 1,175,067 : x
  2. Step 2: Convert to fraction form
    815,850/1,175,067 = 1,175,067/x
  3. Step 3: Cross multiply
    815,850x = 1,175,067 × 1,175,067
  4. Step 4: Simplify right side
    815,850x = 1,380,782,454,489
  5. Step 5: Solve for x
    x = 1,380,782,454,489/815,850
  6. Step 6: Final answer
    x = 1,692,446.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.