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Finding the Third Proportional to 419,481 and 908,946

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Solution

The third proportional to 419,481 and 908,946 is: 1,969,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,481 : 908,946 = 908,946 : x
  2. Step 2: Convert to fraction form
    419,481/908,946 = 908,946/x
  3. Step 3: Cross multiply
    419,481x = 908,946 × 908,946
  4. Step 4: Simplify right side
    419,481x = 826,182,830,916
  5. Step 5: Solve for x
    x = 826,182,830,916/419,481
  6. Step 6: Final answer
    x = 1,969,535.76

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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.