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Finding the Third Proportional to 1,299 and 2,886

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Solution

The third proportional to 1,299 and 2,886 is: 6,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299 : 2,886 = 2,886 : x
  2. Step 2: Convert to fraction form
    1,299/2,886 = 2,886/x
  3. Step 3: Cross multiply
    1,299x = 2,886 × 2,886
  4. Step 4: Simplify right side
    1,299x = 8,328,996
  5. Step 5: Solve for x
    x = 8,328,996/1,299
  6. Step 6: Final answer
    x = 6,411.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.