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Finding the Third Proportional to 968,908.50 and 2,085,882.75

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Solution

The third proportional to 968,908.50 and 2,085,882.75 is: 4,490,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,908.50 : 2,085,882.75 = 2,085,882.75 : x
  2. Step 2: Convert to fraction form
    968,908.50/2,085,882.75 = 2,085,882.75/x
  3. Step 3: Cross multiply
    968,908.50x = 2,085,882.75 × 2,085,882.75
  4. Step 4: Simplify right side
    968,908.50x = 4,350,906,846,747.56
  5. Step 5: Solve for x
    x = 4,350,906,846,747.56/968,908.50
  6. Step 6: Final answer
    x = 4,490,523.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.