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Finding the Third Proportional to 834,329 and 1,825,474

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Solution

The third proportional to 834,329 and 1,825,474 is: 3,994,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,329 : 1,825,474 = 1,825,474 : x
  2. Step 2: Convert to fraction form
    834,329/1,825,474 = 1,825,474/x
  3. Step 3: Cross multiply
    834,329x = 1,825,474 × 1,825,474
  4. Step 4: Simplify right side
    834,329x = 3,332,355,324,676
  5. Step 5: Solve for x
    x = 3,332,355,324,676/834,329
  6. Step 6: Final answer
    x = 3,994,054.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.