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Finding the Third Proportional to 1,024,544 and 2,206,912

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Solution

The third proportional to 1,024,544 and 2,206,912 is: 4,753,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,544 : 2,206,912 = 2,206,912 : x
  2. Step 2: Convert to fraction form
    1,024,544/2,206,912 = 2,206,912/x
  3. Step 3: Cross multiply
    1,024,544x = 2,206,912 × 2,206,912
  4. Step 4: Simplify right side
    1,024,544x = 4,870,460,575,744
  5. Step 5: Solve for x
    x = 4,870,460,575,744/1,024,544
  6. Step 6: Final answer
    x = 4,753,783.71

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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.