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Finding the Third Proportional to 996,720.19 and 2,035,471.78

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Solution

The third proportional to 996,720.19 and 2,035,471.78 is: 4,156,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,720.19 : 2,035,471.78 = 2,035,471.78 : x
  2. Step 2: Convert to fraction form
    996,720.19/2,035,471.78 = 2,035,471.78/x
  3. Step 3: Cross multiply
    996,720.19x = 2,035,471.78 × 2,035,471.78
  4. Step 4: Simplify right side
    996,720.19x = 4,143,145,372,265.05
  5. Step 5: Solve for x
    x = 4,143,145,372,265.05/996,720.19
  6. Step 6: Final answer
    x = 4,156,778.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.