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Finding the Third Proportional to 422,481 and 939,420

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Solution

The third proportional to 422,481 and 939,420 is: 2,088,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,481 : 939,420 = 939,420 : x
  2. Step 2: Convert to fraction form
    422,481/939,420 = 939,420/x
  3. Step 3: Cross multiply
    422,481x = 939,420 × 939,420
  4. Step 4: Simplify right side
    422,481x = 882,509,936,400
  5. Step 5: Solve for x
    x = 882,509,936,400/422,481
  6. Step 6: Final answer
    x = 2,088,874.85

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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.