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Finding the Third Proportional to 422,471 and 939,397

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Solution

The third proportional to 422,471 and 939,397 is: 2,088,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,471 : 939,397 = 939,397 : x
  2. Step 2: Convert to fraction form
    422,471/939,397 = 939,397/x
  3. Step 3: Cross multiply
    422,471x = 939,397 × 939,397
  4. Step 4: Simplify right side
    422,471x = 882,466,723,609
  5. Step 5: Solve for x
    x = 882,466,723,609/422,471
  6. Step 6: Final answer
    x = 2,088,822.01

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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.