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Finding the Third Proportional to 517,169.50 and 1,138,019

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Solution

The third proportional to 517,169.50 and 1,138,019 is: 2,504,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,169.50 : 1,138,019 = 1,138,019 : x
  2. Step 2: Convert to fraction form
    517,169.50/1,138,019 = 1,138,019/x
  3. Step 3: Cross multiply
    517,169.50x = 1,138,019 × 1,138,019
  4. Step 4: Simplify right side
    517,169.50x = 1,295,087,244,361
  5. Step 5: Solve for x
    x = 1,295,087,244,361/517,169.50
  6. Step 6: Final answer
    x = 2,504,183.34

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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.