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Finding the Third Proportional to 1,448,357 and 2,191,177

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Solution

The third proportional to 1,448,357 and 2,191,177 is: 3,314,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,357 : 2,191,177 = 2,191,177 : x
  2. Step 2: Convert to fraction form
    1,448,357/2,191,177 = 2,191,177/x
  3. Step 3: Cross multiply
    1,448,357x = 2,191,177 × 2,191,177
  4. Step 4: Simplify right side
    1,448,357x = 4,801,256,645,329
  5. Step 5: Solve for x
    x = 4,801,256,645,329/1,448,357
  6. Step 6: Final answer
    x = 3,314,967.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.