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Finding the Third Proportional to 1,560,086 and 2,396,898

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Solution

The third proportional to 1,560,086 and 2,396,898 is: 3,682,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,086 : 2,396,898 = 2,396,898 : x
  2. Step 2: Convert to fraction form
    1,560,086/2,396,898 = 2,396,898/x
  3. Step 3: Cross multiply
    1,560,086x = 2,396,898 × 2,396,898
  4. Step 4: Simplify right side
    1,560,086x = 5,745,120,022,404
  5. Step 5: Solve for x
    x = 5,745,120,022,404/1,560,086
  6. Step 6: Final answer
    x = 3,682,566.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.