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Finding the Third Proportional to 4,422,880 and 6,774,112

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Solution

The third proportional to 4,422,880 and 6,774,112 is: 10,375,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422,880 : 6,774,112 = 6,774,112 : x
  2. Step 2: Convert to fraction form
    4,422,880/6,774,112 = 6,774,112/x
  3. Step 3: Cross multiply
    4,422,880x = 6,774,112 × 6,774,112
  4. Step 4: Simplify right side
    4,422,880x = 45,888,593,388,544
  5. Step 5: Solve for x
    x = 45,888,593,388,544/4,422,880
  6. Step 6: Final answer
    x = 10,375,274.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.