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Finding the Third Proportional to 1,212,864 and 1,883,256

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Solution

The third proportional to 1,212,864 and 1,883,256 is: 2,924,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,864 : 1,883,256 = 1,883,256 : x
  2. Step 2: Convert to fraction form
    1,212,864/1,883,256 = 1,883,256/x
  3. Step 3: Cross multiply
    1,212,864x = 1,883,256 × 1,883,256
  4. Step 4: Simplify right side
    1,212,864x = 3,546,653,161,536
  5. Step 5: Solve for x
    x = 3,546,653,161,536/1,212,864
  6. Step 6: Final answer
    x = 2,924,196.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.