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Finding the Third Proportional to 656,081 and 1,412,782

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Solution

The third proportional to 656,081 and 1,412,782 is: 3,042,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,081 : 1,412,782 = 1,412,782 : x
  2. Step 2: Convert to fraction form
    656,081/1,412,782 = 1,412,782/x
  3. Step 3: Cross multiply
    656,081x = 1,412,782 × 1,412,782
  4. Step 4: Simplify right side
    656,081x = 1,995,952,979,524
  5. Step 5: Solve for x
    x = 1,995,952,979,524/656,081
  6. Step 6: Final answer
    x = 3,042,235.61

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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.