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Finding the Third Proportional to 1,269.84 and 1,905.19

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Solution

The third proportional to 1,269.84 and 1,905.19 is: 2,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.84 : 1,905.19 = 1,905.19 : x
  2. Step 2: Convert to fraction form
    1,269.84/1,905.19 = 1,905.19/x
  3. Step 3: Cross multiply
    1,269.84x = 1,905.19 × 1,905.19
  4. Step 4: Simplify right side
    1,269.84x = 3,629,739.41
  5. Step 5: Solve for x
    x = 3,629,739.41/1,269.84
  6. Step 6: Final answer
    x = 2,858.41

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