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Finding the Third Proportional to 819,895.50 and 1,797,741

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Solution

The third proportional to 819,895.50 and 1,797,741 is: 3,941,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,895.50 : 1,797,741 = 1,797,741 : x
  2. Step 2: Convert to fraction form
    819,895.50/1,797,741 = 1,797,741/x
  3. Step 3: Cross multiply
    819,895.50x = 1,797,741 × 1,797,741
  4. Step 4: Simplify right side
    819,895.50x = 3,231,872,703,081
  5. Step 5: Solve for x
    x = 3,231,872,703,081/819,895.50
  6. Step 6: Final answer
    x = 3,941,810.51

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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.