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Finding the Third Proportional to 821,438 and 1,797,727

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Solution

The third proportional to 821,438 and 1,797,727 is: 3,934,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,438 : 1,797,727 = 1,797,727 : x
  2. Step 2: Convert to fraction form
    821,438/1,797,727 = 1,797,727/x
  3. Step 3: Cross multiply
    821,438x = 1,797,727 × 1,797,727
  4. Step 4: Simplify right side
    821,438x = 3,231,822,366,529
  5. Step 5: Solve for x
    x = 3,231,822,366,529/821,438
  6. Step 6: Final answer
    x = 3,934,347.29

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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.