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Finding the Third Proportional to 1,535,954 and 2,067,694

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Solution

The third proportional to 1,535,954 and 2,067,694 is: 2,783,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,954 : 2,067,694 = 2,067,694 : x
  2. Step 2: Convert to fraction form
    1,535,954/2,067,694 = 2,067,694/x
  3. Step 3: Cross multiply
    1,535,954x = 2,067,694 × 2,067,694
  4. Step 4: Simplify right side
    1,535,954x = 4,275,358,477,636
  5. Step 5: Solve for x
    x = 4,275,358,477,636/1,535,954
  6. Step 6: Final answer
    x = 2,783,519.87

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.