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Finding the Third Proportional to 451,884 and 941,196

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Solution

The third proportional to 451,884 and 941,196 is: 1,960,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,884 : 941,196 = 941,196 : x
  2. Step 2: Convert to fraction form
    451,884/941,196 = 941,196/x
  3. Step 3: Cross multiply
    451,884x = 941,196 × 941,196
  4. Step 4: Simplify right side
    451,884x = 885,849,910,416
  5. Step 5: Solve for x
    x = 885,849,910,416/451,884
  6. Step 6: Final answer
    x = 1,960,348.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.