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Finding the Third Proportional to 2,691,999 and 5,762,331

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Solution

The third proportional to 2,691,999 and 5,762,331 is: 12,334,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691,999 : 5,762,331 = 5,762,331 : x
  2. Step 2: Convert to fraction form
    2,691,999/5,762,331 = 5,762,331/x
  3. Step 3: Cross multiply
    2,691,999x = 5,762,331 × 5,762,331
  4. Step 4: Simplify right side
    2,691,999x = 33,204,458,553,561
  5. Step 5: Solve for x
    x = 33,204,458,553,561/2,691,999
  6. Step 6: Final answer
    x = 12,334,498.84

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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.