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Finding the Third Proportional to 814,758 and 1,753,764.75

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Solution

The third proportional to 814,758 and 1,753,764.75 is: 3,774,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,758 : 1,753,764.75 = 1,753,764.75 : x
  2. Step 2: Convert to fraction form
    814,758/1,753,764.75 = 1,753,764.75/x
  3. Step 3: Cross multiply
    814,758x = 1,753,764.75 × 1,753,764.75
  4. Step 4: Simplify right side
    814,758x = 3,075,690,798,342.56
  5. Step 5: Solve for x
    x = 3,075,690,798,342.56/814,758
  6. Step 6: Final answer
    x = 3,774,974.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.