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Finding the Third Proportional to 685,899 and 978,403.50

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Solution

The third proportional to 685,899 and 978,403.50 is: 1,395,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,899 : 978,403.50 = 978,403.50 : x
  2. Step 2: Convert to fraction form
    685,899/978,403.50 = 978,403.50/x
  3. Step 3: Cross multiply
    685,899x = 978,403.50 × 978,403.50
  4. Step 4: Simplify right side
    685,899x = 957,273,408,812.25
  5. Step 5: Solve for x
    x = 957,273,408,812.25/685,899
  6. Step 6: Final answer
    x = 1,395,647.77

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