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Finding the Third Proportional to 694,342 and 1,082,108

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Solution

The third proportional to 694,342 and 1,082,108 is: 1,686,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,342 : 1,082,108 = 1,082,108 : x
  2. Step 2: Convert to fraction form
    694,342/1,082,108 = 1,082,108/x
  3. Step 3: Cross multiply
    694,342x = 1,082,108 × 1,082,108
  4. Step 4: Simplify right side
    694,342x = 1,170,957,723,664
  5. Step 5: Solve for x
    x = 1,170,957,723,664/694,342
  6. Step 6: Final answer
    x = 1,686,427.90

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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.