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Finding the Third Proportional to 1,316.56 and 1,978.22

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Solution

The third proportional to 1,316.56 and 1,978.22 is: 2,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.56 : 1,978.22 = 1,978.22 : x
  2. Step 2: Convert to fraction form
    1,316.56/1,978.22 = 1,978.22/x
  3. Step 3: Cross multiply
    1,316.56x = 1,978.22 × 1,978.22
  4. Step 4: Simplify right side
    1,316.56x = 3,913,349.42
  5. Step 5: Solve for x
    x = 3,913,349.42/1,316.56
  6. Step 6: Final answer
    x = 2,972.40

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