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Finding the Third Proportional to 694,367 and 1,082,151

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Solution

The third proportional to 694,367 and 1,082,151 is: 1,686,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,367 : 1,082,151 = 1,082,151 : x
  2. Step 2: Convert to fraction form
    694,367/1,082,151 = 1,082,151/x
  3. Step 3: Cross multiply
    694,367x = 1,082,151 × 1,082,151
  4. Step 4: Simplify right side
    694,367x = 1,171,050,786,801
  5. Step 5: Solve for x
    x = 1,171,050,786,801/694,367
  6. Step 6: Final answer
    x = 1,686,501.21

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