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Finding the Third Proportional to 1,814,424 and 3,906,192

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Solution

The third proportional to 1,814,424 and 3,906,192 is: 8,409,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814,424 : 3,906,192 = 3,906,192 : x
  2. Step 2: Convert to fraction form
    1,814,424/3,906,192 = 3,906,192/x
  3. Step 3: Cross multiply
    1,814,424x = 3,906,192 × 3,906,192
  4. Step 4: Simplify right side
    1,814,424x = 15,258,335,940,864
  5. Step 5: Solve for x
    x = 15,258,335,940,864/1,814,424
  6. Step 6: Final answer
    x = 8,409,465.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.