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Finding the Third Proportional to 666,401 and 1,451,122

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Solution

The third proportional to 666,401 and 1,451,122 is: 3,159,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,401 : 1,451,122 = 1,451,122 : x
  2. Step 2: Convert to fraction form
    666,401/1,451,122 = 1,451,122/x
  3. Step 3: Cross multiply
    666,401x = 1,451,122 × 1,451,122
  4. Step 4: Simplify right side
    666,401x = 2,105,755,058,884
  5. Step 5: Solve for x
    x = 2,105,755,058,884/666,401
  6. Step 6: Final answer
    x = 3,159,891.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.