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Finding the Third Proportional to 896,831 and 1,361,853

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Solution

The third proportional to 896,831 and 1,361,853 is: 2,067,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,831 : 1,361,853 = 1,361,853 : x
  2. Step 2: Convert to fraction form
    896,831/1,361,853 = 1,361,853/x
  3. Step 3: Cross multiply
    896,831x = 1,361,853 × 1,361,853
  4. Step 4: Simplify right side
    896,831x = 1,854,643,593,609
  5. Step 5: Solve for x
    x = 1,854,643,593,609/896,831
  6. Step 6: Final answer
    x = 2,067,996.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.