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Finding the Third Proportional to 1,706,589 and 3,656,067

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Solution

The third proportional to 1,706,589 and 3,656,067 is: 7,832,480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,589 : 3,656,067 = 3,656,067 : x
  2. Step 2: Convert to fraction form
    1,706,589/3,656,067 = 3,656,067/x
  3. Step 3: Cross multiply
    1,706,589x = 3,656,067 × 3,656,067
  4. Step 4: Simplify right side
    1,706,589x = 13,366,825,908,489
  5. Step 5: Solve for x
    x = 13,366,825,908,489/1,706,589
  6. Step 6: Final answer
    x = 7,832,480.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.