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Finding the Third Proportional to 451,576 and 995,304

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Solution

The third proportional to 451,576 and 995,304 is: 2,193,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,576 : 995,304 = 995,304 : x
  2. Step 2: Convert to fraction form
    451,576/995,304 = 995,304/x
  3. Step 3: Cross multiply
    451,576x = 995,304 × 995,304
  4. Step 4: Simplify right side
    451,576x = 990,630,052,416
  5. Step 5: Solve for x
    x = 990,630,052,416/451,576
  6. Step 6: Final answer
    x = 2,193,717.23

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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.