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Finding the Third Proportional to 834,204 and 1,821,315

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Solution

The third proportional to 834,204 and 1,821,315 is: 3,976,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,204 : 1,821,315 = 1,821,315 : x
  2. Step 2: Convert to fraction form
    834,204/1,821,315 = 1,821,315/x
  3. Step 3: Cross multiply
    834,204x = 1,821,315 × 1,821,315
  4. Step 4: Simplify right side
    834,204x = 3,317,188,329,225
  5. Step 5: Solve for x
    x = 3,317,188,329,225/834,204
  6. Step 6: Final answer
    x = 3,976,471.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.