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Finding the Third Proportional to 821,482 and 1,764,398

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Solution

The third proportional to 821,482 and 1,764,398 is: 3,789,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,482 : 1,764,398 = 1,764,398 : x
  2. Step 2: Convert to fraction form
    821,482/1,764,398 = 1,764,398/x
  3. Step 3: Cross multiply
    821,482x = 1,764,398 × 1,764,398
  4. Step 4: Simplify right side
    821,482x = 3,113,100,302,404
  5. Step 5: Solve for x
    x = 3,113,100,302,404/821,482
  6. Step 6: Final answer
    x = 3,789,614.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.