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Finding the Third Proportional to 397,956 and 858,936

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Solution

The third proportional to 397,956 and 858,936 is: 1,853,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,956 : 858,936 = 858,936 : x
  2. Step 2: Convert to fraction form
    397,956/858,936 = 858,936/x
  3. Step 3: Cross multiply
    397,956x = 858,936 × 858,936
  4. Step 4: Simplify right side
    397,956x = 737,771,052,096
  5. Step 5: Solve for x
    x = 737,771,052,096/397,956
  6. Step 6: Final answer
    x = 1,853,901.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.