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Finding the Third Proportional to 1,213,781 and 2,616,876

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Solution

The third proportional to 1,213,781 and 2,616,876 is: 5,641,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,781 : 2,616,876 = 2,616,876 : x
  2. Step 2: Convert to fraction form
    1,213,781/2,616,876 = 2,616,876/x
  3. Step 3: Cross multiply
    1,213,781x = 2,616,876 × 2,616,876
  4. Step 4: Simplify right side
    1,213,781x = 6,848,039,999,376
  5. Step 5: Solve for x
    x = 6,848,039,999,376/1,213,781
  6. Step 6: Final answer
    x = 5,641,907.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.