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Finding the Third Proportional to 2,681,508 and 5,782,824

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Solution

The third proportional to 2,681,508 and 5,782,824 is: 12,470,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681,508 : 5,782,824 = 5,782,824 : x
  2. Step 2: Convert to fraction form
    2,681,508/5,782,824 = 5,782,824/x
  3. Step 3: Cross multiply
    2,681,508x = 5,782,824 × 5,782,824
  4. Step 4: Simplify right side
    2,681,508x = 33,441,053,414,976
  5. Step 5: Solve for x
    x = 33,441,053,414,976/2,681,508
  6. Step 6: Final answer
    x = 12,470,987.75

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