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Finding the Third Proportional to 522,401 and 1,131,749

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Solution

The third proportional to 522,401 and 1,131,749 is: 2,451,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,401 : 1,131,749 = 1,131,749 : x
  2. Step 2: Convert to fraction form
    522,401/1,131,749 = 1,131,749/x
  3. Step 3: Cross multiply
    522,401x = 1,131,749 × 1,131,749
  4. Step 4: Simplify right side
    522,401x = 1,280,855,799,001
  5. Step 5: Solve for x
    x = 1,280,855,799,001/522,401
  6. Step 6: Final answer
    x = 2,451,863.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.