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Finding the Third Proportional to 1,691,644 and 3,647,356

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Solution

The third proportional to 1,691,644 and 3,647,356 is: 7,864,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,644 : 3,647,356 = 3,647,356 : x
  2. Step 2: Convert to fraction form
    1,691,644/3,647,356 = 3,647,356/x
  3. Step 3: Cross multiply
    1,691,644x = 3,647,356 × 3,647,356
  4. Step 4: Simplify right side
    1,691,644x = 13,303,205,790,736
  5. Step 5: Solve for x
    x = 13,303,205,790,736/1,691,644
  6. Step 6: Final answer
    x = 7,864,069.39

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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.