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Finding the Third Proportional to 814,930.88 and 1,769,976.56

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Solution

The third proportional to 814,930.88 and 1,769,976.56 is: 3,844,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,930.88 : 1,769,976.56 = 1,769,976.56 : x
  2. Step 2: Convert to fraction form
    814,930.88/1,769,976.56 = 1,769,976.56/x
  3. Step 3: Cross multiply
    814,930.88x = 1,769,976.56 × 1,769,976.56
  4. Step 4: Simplify right side
    814,930.88x = 3,132,817,031,799.32
  5. Step 5: Solve for x
    x = 3,132,817,031,799.32/814,930.88
  6. Step 6: Final answer
    x = 3,844,273.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.