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Finding the Third Proportional to 1,691,678 and 3,719,824

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Solution

The third proportional to 1,691,678 and 3,719,824 is: 8,179,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,678 : 3,719,824 = 3,719,824 : x
  2. Step 2: Convert to fraction form
    1,691,678/3,719,824 = 3,719,824/x
  3. Step 3: Cross multiply
    1,691,678x = 3,719,824 × 3,719,824
  4. Step 4: Simplify right side
    1,691,678x = 13,837,090,590,976
  5. Step 5: Solve for x
    x = 13,837,090,590,976/1,691,678
  6. Step 6: Final answer
    x = 8,179,506.14

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