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Finding the Third Proportional to 422,327 and 939,094

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Solution

The third proportional to 422,327 and 939,094 is: 2,088,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,327 : 939,094 = 939,094 : x
  2. Step 2: Convert to fraction form
    422,327/939,094 = 939,094/x
  3. Step 3: Cross multiply
    422,327x = 939,094 × 939,094
  4. Step 4: Simplify right side
    422,327x = 881,897,540,836
  5. Step 5: Solve for x
    x = 881,897,540,836/422,327
  6. Step 6: Final answer
    x = 2,088,186.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.