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Finding the Third Proportional to 812,176.88 and 1,644,067.13

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Solution

The third proportional to 812,176.88 and 1,644,067.13 is: 3,328,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,176.88 : 1,644,067.13 = 1,644,067.13 : x
  2. Step 2: Convert to fraction form
    812,176.88/1,644,067.13 = 1,644,067.13/x
  3. Step 3: Cross multiply
    812,176.88x = 1,644,067.13 × 1,644,067.13
  4. Step 4: Simplify right side
    812,176.88x = 2,702,956,711,505.77
  5. Step 5: Solve for x
    x = 2,702,956,711,505.77/812,176.88
  6. Step 6: Final answer
    x = 3,328,039.49

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.