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Finding the Third Proportional to 3,424,574 and 7,378,949

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Solution

The third proportional to 3,424,574 and 7,378,949 is: 15,899,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424,574 : 7,378,949 = 7,378,949 : x
  2. Step 2: Convert to fraction form
    3,424,574/7,378,949 = 7,378,949/x
  3. Step 3: Cross multiply
    3,424,574x = 7,378,949 × 7,378,949
  4. Step 4: Simplify right side
    3,424,574x = 54,448,888,344,601
  5. Step 5: Solve for x
    x = 54,448,888,344,601/3,424,574
  6. Step 6: Final answer
    x = 15,899,463.22

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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.