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Finding the Third Proportional to 821,440.50 and 1,797,729

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Solution

The third proportional to 821,440.50 and 1,797,729 is: 3,934,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,440.50 : 1,797,729 = 1,797,729 : x
  2. Step 2: Convert to fraction form
    821,440.50/1,797,729 = 1,797,729/x
  3. Step 3: Cross multiply
    821,440.50x = 1,797,729 × 1,797,729
  4. Step 4: Simplify right side
    821,440.50x = 3,231,829,557,441
  5. Step 5: Solve for x
    x = 3,231,829,557,441/821,440.50
  6. Step 6: Final answer
    x = 3,934,344.07

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Why These Related Problems?

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