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Finding the Third Proportional to 422,495 and 939,451

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Solution

The third proportional to 422,495 and 939,451 is: 2,088,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,495 : 939,451 = 939,451 : x
  2. Step 2: Convert to fraction form
    422,495/939,451 = 939,451/x
  3. Step 3: Cross multiply
    422,495x = 939,451 × 939,451
  4. Step 4: Simplify right side
    422,495x = 882,568,181,401
  5. Step 5: Solve for x
    x = 882,568,181,401/422,495
  6. Step 6: Final answer
    x = 2,088,943.49

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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.