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Finding the Third Proportional to 465,991 and 999,949

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Solution

The third proportional to 465,991 and 999,949 is: 2,145,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,991 : 999,949 = 999,949 : x
  2. Step 2: Convert to fraction form
    465,991/999,949 = 999,949/x
  3. Step 3: Cross multiply
    465,991x = 999,949 × 999,949
  4. Step 4: Simplify right side
    465,991x = 999,898,002,601
  5. Step 5: Solve for x
    x = 999,898,002,601/465,991
  6. Step 6: Final answer
    x = 2,145,745.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.