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Finding the Third Proportional to 1,268,072 and 1,727,112

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Solution

The third proportional to 1,268,072 and 1,727,112 is: 2,352,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,072 : 1,727,112 = 1,727,112 : x
  2. Step 2: Convert to fraction form
    1,268,072/1,727,112 = 1,727,112/x
  3. Step 3: Cross multiply
    1,268,072x = 1,727,112 × 1,727,112
  4. Step 4: Simplify right side
    1,268,072x = 2,982,915,860,544
  5. Step 5: Solve for x
    x = 2,982,915,860,544/1,268,072
  6. Step 6: Final answer
    x = 2,352,323.73

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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.