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Finding the Third Proportional to 482,901.75 and 1,040,529

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Solution

The third proportional to 482,901.75 and 1,040,529 is: 2,242,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,901.75 : 1,040,529 = 1,040,529 : x
  2. Step 2: Convert to fraction form
    482,901.75/1,040,529 = 1,040,529/x
  3. Step 3: Cross multiply
    482,901.75x = 1,040,529 × 1,040,529
  4. Step 4: Simplify right side
    482,901.75x = 1,082,700,599,841
  5. Step 5: Solve for x
    x = 1,082,700,599,841/482,901.75
  6. Step 6: Final answer
    x = 2,242,072.22

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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.