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Finding the Third Proportional to 1,719.98 and 1,896.54

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Solution

The third proportional to 1,719.98 and 1,896.54 is: 2,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.98 : 1,896.54 = 1,896.54 : x
  2. Step 2: Convert to fraction form
    1,719.98/1,896.54 = 1,896.54/x
  3. Step 3: Cross multiply
    1,719.98x = 1,896.54 × 1,896.54
  4. Step 4: Simplify right side
    1,719.98x = 3,596,860.42
  5. Step 5: Solve for x
    x = 3,596,860.42/1,719.98
  6. Step 6: Final answer
    x = 2,091.22

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