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Finding the Third Proportional to 451,072 and 995,456

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Solution

The third proportional to 451,072 and 995,456 is: 2,196,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,072 : 995,456 = 995,456 : x
  2. Step 2: Convert to fraction form
    451,072/995,456 = 995,456/x
  3. Step 3: Cross multiply
    451,072x = 995,456 × 995,456
  4. Step 4: Simplify right side
    451,072x = 990,932,647,936
  5. Step 5: Solve for x
    x = 990,932,647,936/451,072
  6. Step 6: Final answer
    x = 2,196,839.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.