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Finding the Third Proportional to 599,477 and 1,254,375

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Solution

The third proportional to 599,477 and 1,254,375 is: 2,624,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,477 : 1,254,375 = 1,254,375 : x
  2. Step 2: Convert to fraction form
    599,477/1,254,375 = 1,254,375/x
  3. Step 3: Cross multiply
    599,477x = 1,254,375 × 1,254,375
  4. Step 4: Simplify right side
    599,477x = 1,573,456,640,625
  5. Step 5: Solve for x
    x = 1,573,456,640,625/599,477
  6. Step 6: Final answer
    x = 2,624,715.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.