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Finding the Third Proportional to 1,512,334.50 and 2,270,142.75

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Solution

The third proportional to 1,512,334.50 and 2,270,142.75 is: 3,407,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512,334.50 : 2,270,142.75 = 2,270,142.75 : x
  2. Step 2: Convert to fraction form
    1,512,334.50/2,270,142.75 = 2,270,142.75/x
  3. Step 3: Cross multiply
    1,512,334.50x = 2,270,142.75 × 2,270,142.75
  4. Step 4: Simplify right side
    1,512,334.50x = 5,153,548,105,377.56
  5. Step 5: Solve for x
    x = 5,153,548,105,377.56/1,512,334.50
  6. Step 6: Final answer
    x = 3,407,677.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.