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Finding the Third Proportional to 1,268,741 and 1,728,103

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Solution

The third proportional to 1,268,741 and 1,728,103 is: 2,353,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,741 : 1,728,103 = 1,728,103 : x
  2. Step 2: Convert to fraction form
    1,268,741/1,728,103 = 1,728,103/x
  3. Step 3: Cross multiply
    1,268,741x = 1,728,103 × 1,728,103
  4. Step 4: Simplify right side
    1,268,741x = 2,986,339,978,609
  5. Step 5: Solve for x
    x = 2,986,339,978,609/1,268,741
  6. Step 6: Final answer
    x = 2,353,782.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.