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Finding the Third Proportional to 2,206,662.75 and 4,761,672.75

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Solution

The third proportional to 2,206,662.75 and 4,761,672.75 is: 10,275,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,662.75 : 4,761,672.75 = 4,761,672.75 : x
  2. Step 2: Convert to fraction form
    2,206,662.75/4,761,672.75 = 4,761,672.75/x
  3. Step 3: Cross multiply
    2,206,662.75x = 4,761,672.75 × 4,761,672.75
  4. Step 4: Simplify right side
    2,206,662.75x = 22,673,527,378,092.56
  5. Step 5: Solve for x
    x = 22,673,527,378,092.56/2,206,662.75
  6. Step 6: Final answer
    x = 10,275,030.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.