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Finding the Third Proportional to 454,401 and 955,809

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Solution

The third proportional to 454,401 and 955,809 is: 2,010,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,401 : 955,809 = 955,809 : x
  2. Step 2: Convert to fraction form
    454,401/955,809 = 955,809/x
  3. Step 3: Cross multiply
    454,401x = 955,809 × 955,809
  4. Step 4: Simplify right side
    454,401x = 913,570,844,481
  5. Step 5: Solve for x
    x = 913,570,844,481/454,401
  6. Step 6: Final answer
    x = 2,010,494.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.