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Finding the Third Proportional to 498,885 and 886,956

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Solution

The third proportional to 498,885 and 886,956 is: 1,576,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,885 : 886,956 = 886,956 : x
  2. Step 2: Convert to fraction form
    498,885/886,956 = 886,956/x
  3. Step 3: Cross multiply
    498,885x = 886,956 × 886,956
  4. Step 4: Simplify right side
    498,885x = 786,690,945,936
  5. Step 5: Solve for x
    x = 786,690,945,936/498,885
  6. Step 6: Final answer
    x = 1,576,898.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.