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Finding the Third Proportional to 689,406 and 1,029,937.50

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Solution

The third proportional to 689,406 and 1,029,937.50 is: 1,538,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,406 : 1,029,937.50 = 1,029,937.50 : x
  2. Step 2: Convert to fraction form
    689,406/1,029,937.50 = 1,029,937.50/x
  3. Step 3: Cross multiply
    689,406x = 1,029,937.50 × 1,029,937.50
  4. Step 4: Simplify right side
    689,406x = 1,060,771,253,906.25
  5. Step 5: Solve for x
    x = 1,060,771,253,906.25/689,406
  6. Step 6: Final answer
    x = 1,538,674.24

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