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Finding the Third Proportional to 819,132.75 and 1,703,639.25

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Solution

The third proportional to 819,132.75 and 1,703,639.25 is: 3,543,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,132.75 : 1,703,639.25 = 1,703,639.25 : x
  2. Step 2: Convert to fraction form
    819,132.75/1,703,639.25 = 1,703,639.25/x
  3. Step 3: Cross multiply
    819,132.75x = 1,703,639.25 × 1,703,639.25
  4. Step 4: Simplify right side
    819,132.75x = 2,902,386,694,140.56
  5. Step 5: Solve for x
    x = 2,902,386,694,140.56/819,132.75
  6. Step 6: Final answer
    x = 3,543,243.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.