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Finding the Third Proportional to 1,100,169 and 2,268,864

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Solution

The third proportional to 1,100,169 and 2,268,864 is: 4,679,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,169 : 2,268,864 = 2,268,864 : x
  2. Step 2: Convert to fraction form
    1,100,169/2,268,864 = 2,268,864/x
  3. Step 3: Cross multiply
    1,100,169x = 2,268,864 × 2,268,864
  4. Step 4: Simplify right side
    1,100,169x = 5,147,743,850,496
  5. Step 5: Solve for x
    x = 5,147,743,850,496/1,100,169
  6. Step 6: Final answer
    x = 4,679,048.26

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.