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Finding the Third Proportional to 374,540 and 825,427

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Solution

The third proportional to 374,540 and 825,427 is: 1,819,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,540 : 825,427 = 825,427 : x
  2. Step 2: Convert to fraction form
    374,540/825,427 = 825,427/x
  3. Step 3: Cross multiply
    374,540x = 825,427 × 825,427
  4. Step 4: Simplify right side
    374,540x = 681,329,732,329
  5. Step 5: Solve for x
    x = 681,329,732,329/374,540
  6. Step 6: Final answer
    x = 1,819,110.73

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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.