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Finding the Third Proportional to 339,891 and 746,886

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Solution

The third proportional to 339,891 and 746,886 is: 1,641,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,891 : 746,886 = 746,886 : x
  2. Step 2: Convert to fraction form
    339,891/746,886 = 746,886/x
  3. Step 3: Cross multiply
    339,891x = 746,886 × 746,886
  4. Step 4: Simplify right side
    339,891x = 557,838,696,996
  5. Step 5: Solve for x
    x = 557,838,696,996/339,891
  6. Step 6: Final answer
    x = 1,641,228.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.