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Finding the Third Proportional to 3,215,048 and 4,378,356

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Solution

The third proportional to 3,215,048 and 4,378,356 is: 5,962,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,048 : 4,378,356 = 4,378,356 : x
  2. Step 2: Convert to fraction form
    3,215,048/4,378,356 = 4,378,356/x
  3. Step 3: Cross multiply
    3,215,048x = 4,378,356 × 4,378,356
  4. Step 4: Simplify right side
    3,215,048x = 19,170,001,262,736
  5. Step 5: Solve for x
    x = 19,170,001,262,736/3,215,048
  6. Step 6: Final answer
    x = 5,962,586.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.