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Finding the Third Proportional to 451,624 and 995,408

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Solution

The third proportional to 451,624 and 995,408 is: 2,193,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,624 : 995,408 = 995,408 : x
  2. Step 2: Convert to fraction form
    451,624/995,408 = 995,408/x
  3. Step 3: Cross multiply
    451,624x = 995,408 × 995,408
  4. Step 4: Simplify right side
    451,624x = 990,837,086,464
  5. Step 5: Solve for x
    x = 990,837,086,464/451,624
  6. Step 6: Final answer
    x = 2,193,942.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.