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Finding the Third Proportional to 1,318,834 and 2,824,268

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Solution

The third proportional to 1,318,834 and 2,824,268 is: 6,048,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,834 : 2,824,268 = 2,824,268 : x
  2. Step 2: Convert to fraction form
    1,318,834/2,824,268 = 2,824,268/x
  3. Step 3: Cross multiply
    1,318,834x = 2,824,268 × 2,824,268
  4. Step 4: Simplify right side
    1,318,834x = 7,976,489,735,824
  5. Step 5: Solve for x
    x = 7,976,489,735,824/1,318,834
  6. Step 6: Final answer
    x = 6,048,137.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.