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Finding the Third Proportional to 422,476 and 939,407

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Solution

The third proportional to 422,476 and 939,407 is: 2,088,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,476 : 939,407 = 939,407 : x
  2. Step 2: Convert to fraction form
    422,476/939,407 = 939,407/x
  3. Step 3: Cross multiply
    422,476x = 939,407 × 939,407
  4. Step 4: Simplify right side
    422,476x = 882,485,511,649
  5. Step 5: Solve for x
    x = 882,485,511,649/422,476
  6. Step 6: Final answer
    x = 2,088,841.76

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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.