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Finding the Third Proportional to 2,082,207.50 and 3,149,555

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Solution

The third proportional to 2,082,207.50 and 3,149,555 is: 4,764,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,207.50 : 3,149,555 = 3,149,555 : x
  2. Step 2: Convert to fraction form
    2,082,207.50/3,149,555 = 3,149,555/x
  3. Step 3: Cross multiply
    2,082,207.50x = 3,149,555 × 3,149,555
  4. Step 4: Simplify right side
    2,082,207.50x = 9,919,696,698,025
  5. Step 5: Solve for x
    x = 9,919,696,698,025/2,082,207.50
  6. Step 6: Final answer
    x = 4,764,028.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.