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Finding the Third Proportional to 1,269,198 and 2,769,901

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Solution

The third proportional to 1,269,198 and 2,769,901 is: 6,045,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,198 : 2,769,901 = 2,769,901 : x
  2. Step 2: Convert to fraction form
    1,269,198/2,769,901 = 2,769,901/x
  3. Step 3: Cross multiply
    1,269,198x = 2,769,901 × 2,769,901
  4. Step 4: Simplify right side
    1,269,198x = 7,672,351,549,801
  5. Step 5: Solve for x
    x = 7,672,351,549,801/1,269,198
  6. Step 6: Final answer
    x = 6,045,039.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.