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Finding the Third Proportional to 654,843 and 978,231

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Solution

The third proportional to 654,843 and 978,231 is: 1,461,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,843 : 978,231 = 978,231 : x
  2. Step 2: Convert to fraction form
    654,843/978,231 = 978,231/x
  3. Step 3: Cross multiply
    654,843x = 978,231 × 978,231
  4. Step 4: Simplify right side
    654,843x = 956,935,889,361
  5. Step 5: Solve for x
    x = 956,935,889,361/654,843
  6. Step 6: Final answer
    x = 1,461,321.09

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