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Finding the Third Proportional to 834,198 and 1,821,301

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Solution

The third proportional to 834,198 and 1,821,301 is: 3,976,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,198 : 1,821,301 = 1,821,301 : x
  2. Step 2: Convert to fraction form
    834,198/1,821,301 = 1,821,301/x
  3. Step 3: Cross multiply
    834,198x = 1,821,301 × 1,821,301
  4. Step 4: Simplify right side
    834,198x = 3,317,137,332,601
  5. Step 5: Solve for x
    x = 3,317,137,332,601/834,198
  6. Step 6: Final answer
    x = 3,976,438.85

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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.