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Finding the Third Proportional to 481,703 and 1,115,481

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Solution

The third proportional to 481,703 and 1,115,481 is: 2,583,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,703 : 1,115,481 = 1,115,481 : x
  2. Step 2: Convert to fraction form
    481,703/1,115,481 = 1,115,481/x
  3. Step 3: Cross multiply
    481,703x = 1,115,481 × 1,115,481
  4. Step 4: Simplify right side
    481,703x = 1,244,297,861,361
  5. Step 5: Solve for x
    x = 1,244,297,861,361/481,703
  6. Step 6: Final answer
    x = 2,583,122.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.