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Finding the Third Proportional to 1,968,067.13 and 3,213,676.69

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Solution

The third proportional to 1,968,067.13 and 3,213,676.69 is: 5,247,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,067.13 : 3,213,676.69 = 3,213,676.69 : x
  2. Step 2: Convert to fraction form
    1,968,067.13/3,213,676.69 = 3,213,676.69/x
  3. Step 3: Cross multiply
    1,968,067.13x = 3,213,676.69 × 3,213,676.69
  4. Step 4: Simplify right side
    1,968,067.13x = 10,327,717,851,780.97
  5. Step 5: Solve for x
    x = 10,327,717,851,780.97/1,968,067.13
  6. Step 6: Final answer
    x = 5,247,645.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.