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Finding the Third Proportional to 422,096 and 887,930

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Solution

The third proportional to 422,096 and 887,930 is: 1,867,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,096 : 887,930 = 887,930 : x
  2. Step 2: Convert to fraction form
    422,096/887,930 = 887,930/x
  3. Step 3: Cross multiply
    422,096x = 887,930 × 887,930
  4. Step 4: Simplify right side
    422,096x = 788,419,684,900
  5. Step 5: Solve for x
    x = 788,419,684,900/422,096
  6. Step 6: Final answer
    x = 1,867,868.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.