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Finding the Third Proportional to 766,311.75 and 1,626,023.25

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Solution

The third proportional to 766,311.75 and 1,626,023.25 is: 3,450,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,311.75 : 1,626,023.25 = 1,626,023.25 : x
  2. Step 2: Convert to fraction form
    766,311.75/1,626,023.25 = 1,626,023.25/x
  3. Step 3: Cross multiply
    766,311.75x = 1,626,023.25 × 1,626,023.25
  4. Step 4: Simplify right side
    766,311.75x = 2,643,951,609,540.56
  5. Step 5: Solve for x
    x = 2,643,951,609,540.56/766,311.75
  6. Step 6: Final answer
    x = 3,450,229.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.