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Finding the Third Proportional to 484,423.25 and 1,131,471.25

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Solution

The third proportional to 484,423.25 and 1,131,471.25 is: 2,642,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,423.25 : 1,131,471.25 = 1,131,471.25 : x
  2. Step 2: Convert to fraction form
    484,423.25/1,131,471.25 = 1,131,471.25/x
  3. Step 3: Cross multiply
    484,423.25x = 1,131,471.25 × 1,131,471.25
  4. Step 4: Simplify right side
    484,423.25x = 1,280,227,189,576.56
  5. Step 5: Solve for x
    x = 1,280,227,189,576.56/484,423.25
  6. Step 6: Final answer
    x = 2,642,786.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.