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Finding the Third Proportional to 624,530 and 993,027

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Solution

The third proportional to 624,530 and 993,027 is: 1,578,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,530 : 993,027 = 993,027 : x
  2. Step 2: Convert to fraction form
    624,530/993,027 = 993,027/x
  3. Step 3: Cross multiply
    624,530x = 993,027 × 993,027
  4. Step 4: Simplify right side
    624,530x = 986,102,622,729
  5. Step 5: Solve for x
    x = 986,102,622,729/624,530
  6. Step 6: Final answer
    x = 1,578,951.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.