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Finding the Third Proportional to 598,912 and 1,285,448

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Solution

The third proportional to 598,912 and 1,285,448 is: 2,758,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,912 : 1,285,448 = 1,285,448 : x
  2. Step 2: Convert to fraction form
    598,912/1,285,448 = 1,285,448/x
  3. Step 3: Cross multiply
    598,912x = 1,285,448 × 1,285,448
  4. Step 4: Simplify right side
    598,912x = 1,652,376,560,704
  5. Step 5: Solve for x
    x = 1,652,376,560,704/598,912
  6. Step 6: Final answer
    x = 2,758,963.86

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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.