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Finding the Third Proportional to 419,483 and 908,950

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Solution

The third proportional to 419,483 and 908,950 is: 1,969,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,483 : 908,950 = 908,950 : x
  2. Step 2: Convert to fraction form
    419,483/908,950 = 908,950/x
  3. Step 3: Cross multiply
    419,483x = 908,950 × 908,950
  4. Step 4: Simplify right side
    419,483x = 826,190,102,500
  5. Step 5: Solve for x
    x = 826,190,102,500/419,483
  6. Step 6: Final answer
    x = 1,969,543.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.