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Finding the Third Proportional to 2,380,224 and 5,232,192

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Solution

The third proportional to 2,380,224 and 5,232,192 is: 11,501,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,224 : 5,232,192 = 5,232,192 : x
  2. Step 2: Convert to fraction form
    2,380,224/5,232,192 = 5,232,192/x
  3. Step 3: Cross multiply
    2,380,224x = 5,232,192 × 5,232,192
  4. Step 4: Simplify right side
    2,380,224x = 27,375,833,124,864
  5. Step 5: Solve for x
    x = 27,375,833,124,864/2,380,224
  6. Step 6: Final answer
    x = 11,501,368.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.