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Finding the Third Proportional to 694,344 and 1,082,115

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Solution

The third proportional to 694,344 and 1,082,115 is: 1,686,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,344 : 1,082,115 = 1,082,115 : x
  2. Step 2: Convert to fraction form
    694,344/1,082,115 = 1,082,115/x
  3. Step 3: Cross multiply
    694,344x = 1,082,115 × 1,082,115
  4. Step 4: Simplify right side
    694,344x = 1,170,972,873,225
  5. Step 5: Solve for x
    x = 1,170,972,873,225/694,344
  6. Step 6: Final answer
    x = 1,686,444.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.