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Finding the Third Proportional to 1,786,067 and 3,914,093

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Solution

The third proportional to 1,786,067 and 3,914,093 is: 8,577,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,067 : 3,914,093 = 3,914,093 : x
  2. Step 2: Convert to fraction form
    1,786,067/3,914,093 = 3,914,093/x
  3. Step 3: Cross multiply
    1,786,067x = 3,914,093 × 3,914,093
  4. Step 4: Simplify right side
    1,786,067x = 15,320,124,012,649
  5. Step 5: Solve for x
    x = 15,320,124,012,649/1,786,067
  6. Step 6: Final answer
    x = 8,577,575.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.