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Finding the Third Proportional to 694,334 and 1,082,096

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Solution

The third proportional to 694,334 and 1,082,096 is: 1,686,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,334 : 1,082,096 = 1,082,096 : x
  2. Step 2: Convert to fraction form
    694,334/1,082,096 = 1,082,096/x
  3. Step 3: Cross multiply
    694,334x = 1,082,096 × 1,082,096
  4. Step 4: Simplify right side
    694,334x = 1,170,931,753,216
  5. Step 5: Solve for x
    x = 1,170,931,753,216/694,334
  6. Step 6: Final answer
    x = 1,686,409.93

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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.