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Finding the Third Proportional to 1,980,147.38 and 3,147,383.25

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Solution

The third proportional to 1,980,147.38 and 3,147,383.25 is: 5,002,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980,147.38 : 3,147,383.25 = 3,147,383.25 : x
  2. Step 2: Convert to fraction form
    1,980,147.38/3,147,383.25 = 3,147,383.25/x
  3. Step 3: Cross multiply
    1,980,147.38x = 3,147,383.25 × 3,147,383.25
  4. Step 4: Simplify right side
    1,980,147.38x = 9,906,021,322,380.56
  5. Step 5: Solve for x
    x = 9,906,021,322,380.56/1,980,147.38
  6. Step 6: Final answer
    x = 5,002,668.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.