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Finding the Third Proportional to 821,418 and 1,797,685.50

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Solution

The third proportional to 821,418 and 1,797,685.50 is: 3,934,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,418 : 1,797,685.50 = 1,797,685.50 : x
  2. Step 2: Convert to fraction form
    821,418/1,797,685.50 = 1,797,685.50/x
  3. Step 3: Cross multiply
    821,418x = 1,797,685.50 × 1,797,685.50
  4. Step 4: Simplify right side
    821,418x = 3,231,673,156,910.25
  5. Step 5: Solve for x
    x = 3,231,673,156,910.25/821,418
  6. Step 6: Final answer
    x = 3,934,261.43

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