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Finding the Third Proportional to 1,659,472.31 and 2,562,906.09

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Solution

The third proportional to 1,659,472.31 and 2,562,906.09 is: 3,958,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,472.31 : 2,562,906.09 = 2,562,906.09 : x
  2. Step 2: Convert to fraction form
    1,659,472.31/2,562,906.09 = 2,562,906.09/x
  3. Step 3: Cross multiply
    1,659,472.31x = 2,562,906.09 × 2,562,906.09
  4. Step 4: Simplify right side
    1,659,472.31x = 6,568,487,645,380.88
  5. Step 5: Solve for x
    x = 6,568,487,645,380.88/1,659,472.31
  6. Step 6: Final answer
    x = 3,958,178.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.