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Finding the Third Proportional to 4,393,434 and 6,802,150

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Solution

The third proportional to 4,393,434 and 6,802,150 is: 10,531,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393,434 : 6,802,150 = 6,802,150 : x
  2. Step 2: Convert to fraction form
    4,393,434/6,802,150 = 6,802,150/x
  3. Step 3: Cross multiply
    4,393,434x = 6,802,150 × 6,802,150
  4. Step 4: Simplify right side
    4,393,434x = 46,269,244,622,500
  5. Step 5: Solve for x
    x = 46,269,244,622,500/4,393,434
  6. Step 6: Final answer
    x = 10,531,453.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.