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Finding the Third Proportional to 421,225 and 908,876

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Solution

The third proportional to 421,225 and 908,876 is: 1,961,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,225 : 908,876 = 908,876 : x
  2. Step 2: Convert to fraction form
    421,225/908,876 = 908,876/x
  3. Step 3: Cross multiply
    421,225x = 908,876 × 908,876
  4. Step 4: Simplify right side
    421,225x = 826,055,583,376
  5. Step 5: Solve for x
    x = 826,055,583,376/421,225
  6. Step 6: Final answer
    x = 1,961,079.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.