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Finding the Third Proportional to 598,913 and 1,285,449

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Solution

The third proportional to 598,913 and 1,285,449 is: 2,758,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,913 : 1,285,449 = 1,285,449 : x
  2. Step 2: Convert to fraction form
    598,913/1,285,449 = 1,285,449/x
  3. Step 3: Cross multiply
    598,913x = 1,285,449 × 1,285,449
  4. Step 4: Simplify right side
    598,913x = 1,652,379,131,601
  5. Step 5: Solve for x
    x = 1,652,379,131,601/598,913
  6. Step 6: Final answer
    x = 2,758,963.54

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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.