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Finding the Third Proportional to 481,401.98 and 1,016,524.69

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Solution

The third proportional to 481,401.98 and 1,016,524.69 is: 2,146,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,401.98 : 1,016,524.69 = 1,016,524.69 : x
  2. Step 2: Convert to fraction form
    481,401.98/1,016,524.69 = 1,016,524.69/x
  3. Step 3: Cross multiply
    481,401.98x = 1,016,524.69 × 1,016,524.69
  4. Step 4: Simplify right side
    481,401.98x = 1,033,322,440,296.97
  5. Step 5: Solve for x
    x = 1,033,322,440,296.97/481,401.98
  6. Step 6: Final answer
    x = 2,146,485.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.