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Finding the Third Proportional to 1,057,923 and 2,274,921

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Solution

The third proportional to 1,057,923 and 2,274,921 is: 4,891,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,923 : 2,274,921 = 2,274,921 : x
  2. Step 2: Convert to fraction form
    1,057,923/2,274,921 = 2,274,921/x
  3. Step 3: Cross multiply
    1,057,923x = 2,274,921 × 2,274,921
  4. Step 4: Simplify right side
    1,057,923x = 5,175,265,556,241
  5. Step 5: Solve for x
    x = 5,175,265,556,241/1,057,923
  6. Step 6: Final answer
    x = 4,891,911.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.