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Finding the Third Proportional to 819,092 and 1,703,578

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Solution

The third proportional to 819,092 and 1,703,578 is: 3,543,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,092 : 1,703,578 = 1,703,578 : x
  2. Step 2: Convert to fraction form
    819,092/1,703,578 = 1,703,578/x
  3. Step 3: Cross multiply
    819,092x = 1,703,578 × 1,703,578
  4. Step 4: Simplify right side
    819,092x = 2,902,178,002,084
  5. Step 5: Solve for x
    x = 2,902,178,002,084/819,092
  6. Step 6: Final answer
    x = 3,543,164.87

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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.