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Finding the Third Proportional to 2,146,468 and 4,469,192

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Solution

The third proportional to 2,146,468 and 4,469,192 is: 9,305,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,468 : 4,469,192 = 4,469,192 : x
  2. Step 2: Convert to fraction form
    2,146,468/4,469,192 = 4,469,192/x
  3. Step 3: Cross multiply
    2,146,468x = 4,469,192 × 4,469,192
  4. Step 4: Simplify right side
    2,146,468x = 19,973,677,132,864
  5. Step 5: Solve for x
    x = 19,973,677,132,864/2,146,468
  6. Step 6: Final answer
    x = 9,305,369.16

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.