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Finding the Third Proportional to 828,793.13 and 1,279,801.69

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Solution

The third proportional to 828,793.13 and 1,279,801.69 is: 1,976,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,793.13 : 1,279,801.69 = 1,279,801.69 : x
  2. Step 2: Convert to fraction form
    828,793.13/1,279,801.69 = 1,279,801.69/x
  3. Step 3: Cross multiply
    828,793.13x = 1,279,801.69 × 1,279,801.69
  4. Step 4: Simplify right side
    828,793.13x = 1,637,892,359,327.85
  5. Step 5: Solve for x
    x = 1,637,892,359,327.85/828,793.13
  6. Step 6: Final answer
    x = 1,976,237.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.