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Finding the Third Proportional to 374,551 and 825,451

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Solution

The third proportional to 374,551 and 825,451 is: 1,819,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,551 : 825,451 = 825,451 : x
  2. Step 2: Convert to fraction form
    374,551/825,451 = 825,451/x
  3. Step 3: Cross multiply
    374,551x = 825,451 × 825,451
  4. Step 4: Simplify right side
    374,551x = 681,369,353,401
  5. Step 5: Solve for x
    x = 681,369,353,401/374,551
  6. Step 6: Final answer
    x = 1,819,163.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.