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Finding the Third Proportional to 981,816.38 and 2,160,462.75

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Solution

The third proportional to 981,816.38 and 2,160,462.75 is: 4,754,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,816.38 : 2,160,462.75 = 2,160,462.75 : x
  2. Step 2: Convert to fraction form
    981,816.38/2,160,462.75 = 2,160,462.75/x
  3. Step 3: Cross multiply
    981,816.38x = 2,160,462.75 × 2,160,462.75
  4. Step 4: Simplify right side
    981,816.38x = 4,667,599,294,137.56
  5. Step 5: Solve for x
    x = 4,667,599,294,137.56/981,816.38
  6. Step 6: Final answer
    x = 4,754,045.07

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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.