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Finding the Third Proportional to 422,098 and 887,934

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Solution

The third proportional to 422,098 and 887,934 is: 1,867,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,098 : 887,934 = 887,934 : x
  2. Step 2: Convert to fraction form
    422,098/887,934 = 887,934/x
  3. Step 3: Cross multiply
    422,098x = 887,934 × 887,934
  4. Step 4: Simplify right side
    422,098x = 788,426,788,356
  5. Step 5: Solve for x
    x = 788,426,788,356/422,098
  6. Step 6: Final answer
    x = 1,867,876.15

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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.