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Finding the Third Proportional to 808,128 and 1,212,192

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Solution

The third proportional to 808,128 and 1,212,192 is: 1,818,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,128 : 1,212,192 = 1,212,192 : x
  2. Step 2: Convert to fraction form
    808,128/1,212,192 = 1,212,192/x
  3. Step 3: Cross multiply
    808,128x = 1,212,192 × 1,212,192
  4. Step 4: Simplify right side
    808,128x = 1,469,409,444,864
  5. Step 5: Solve for x
    x = 1,469,409,444,864/808,128
  6. Step 6: Final answer
    x = 1,818,288

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.