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Finding the Third Proportional to 422,093 and 887,926

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Solution

The third proportional to 422,093 and 887,926 is: 1,867,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,093 : 887,926 = 887,926 : x
  2. Step 2: Convert to fraction form
    422,093/887,926 = 887,926/x
  3. Step 3: Cross multiply
    422,093x = 887,926 × 887,926
  4. Step 4: Simplify right side
    422,093x = 788,412,581,476
  5. Step 5: Solve for x
    x = 788,412,581,476/422,093
  6. Step 6: Final answer
    x = 1,867,864.62

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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.