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Finding the Third Proportional to 2,171,648 and 4,728,832

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Solution

The third proportional to 2,171,648 and 4,728,832 is: 10,297,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,648 : 4,728,832 = 4,728,832 : x
  2. Step 2: Convert to fraction form
    2,171,648/4,728,832 = 4,728,832/x
  3. Step 3: Cross multiply
    2,171,648x = 4,728,832 × 4,728,832
  4. Step 4: Simplify right side
    2,171,648x = 22,361,852,084,224
  5. Step 5: Solve for x
    x = 22,361,852,084,224/2,171,648
  6. Step 6: Final answer
    x = 10,297,180.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.