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Finding the Third Proportional to 481,921.50 and 1,058,434.13

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Solution

The third proportional to 481,921.50 and 1,058,434.13 is: 2,324,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,921.50 : 1,058,434.13 = 1,058,434.13 : x
  2. Step 2: Convert to fraction form
    481,921.50/1,058,434.13 = 1,058,434.13/x
  3. Step 3: Cross multiply
    481,921.50x = 1,058,434.13 × 1,058,434.13
  4. Step 4: Simplify right side
    481,921.50x = 1,120,282,796,964.52
  5. Step 5: Solve for x
    x = 1,120,282,796,964.52/481,921.50
  6. Step 6: Final answer
    x = 2,324,616.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.