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Finding the Third Proportional to 482,033.25 and 1,126,553.63

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Solution

The third proportional to 482,033.25 and 1,126,553.63 is: 2,632,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,033.25 : 1,126,553.63 = 1,126,553.63 : x
  2. Step 2: Convert to fraction form
    482,033.25/1,126,553.63 = 1,126,553.63/x
  3. Step 3: Cross multiply
    482,033.25x = 1,126,553.63 × 1,126,553.63
  4. Step 4: Simplify right side
    482,033.25x = 1,269,123,070,000.64
  5. Step 5: Solve for x
    x = 1,269,123,070,000.64/482,033.25
  6. Step 6: Final answer
    x = 2,632,853.79

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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.