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Finding the Third Proportional to 4,730,794 and 7,412,679

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Solution

The third proportional to 4,730,794 and 7,412,679 is: 11,614,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730,794 : 7,412,679 = 7,412,679 : x
  2. Step 2: Convert to fraction form
    4,730,794/7,412,679 = 7,412,679/x
  3. Step 3: Cross multiply
    4,730,794x = 7,412,679 × 7,412,679
  4. Step 4: Simplify right side
    4,730,794x = 54,947,809,957,041
  5. Step 5: Solve for x
    x = 54,947,809,957,041/4,730,794
  6. Step 6: Final answer
    x = 11,614,923.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.