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Finding the Third Proportional to 856,882.13 and 1,328,406.75

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Solution

The third proportional to 856,882.13 and 1,328,406.75 is: 2,059,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,882.13 : 1,328,406.75 = 1,328,406.75 : x
  2. Step 2: Convert to fraction form
    856,882.13/1,328,406.75 = 1,328,406.75/x
  3. Step 3: Cross multiply
    856,882.13x = 1,328,406.75 × 1,328,406.75
  4. Step 4: Simplify right side
    856,882.13x = 1,764,664,493,445.56
  5. Step 5: Solve for x
    x = 1,764,664,493,445.56/856,882.13
  6. Step 6: Final answer
    x = 2,059,401.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.