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Finding the Third Proportional to 451,569 and 995,289

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Solution

The third proportional to 451,569 and 995,289 is: 2,193,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,569 : 995,289 = 995,289 : x
  2. Step 2: Convert to fraction form
    451,569/995,289 = 995,289/x
  3. Step 3: Cross multiply
    451,569x = 995,289 × 995,289
  4. Step 4: Simplify right side
    451,569x = 990,600,193,521
  5. Step 5: Solve for x
    x = 990,600,193,521/451,569
  6. Step 6: Final answer
    x = 2,193,685.11

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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.