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Finding the Third Proportional to 856,267.45 and 1,882,027.41

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Solution

The third proportional to 856,267.45 and 1,882,027.41 is: 4,136,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,267.45 : 1,882,027.41 = 1,882,027.41 : x
  2. Step 2: Convert to fraction form
    856,267.45/1,882,027.41 = 1,882,027.41/x
  3. Step 3: Cross multiply
    856,267.45x = 1,882,027.41 × 1,882,027.41
  4. Step 4: Simplify right side
    856,267.45x = 3,542,027,157,876.10
  5. Step 5: Solve for x
    x = 3,542,027,157,876.10/856,267.45
  6. Step 6: Final answer
    x = 4,136,589.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.