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Finding the Third Proportional to 1,691,628 and 3,647,329.50

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Solution

The third proportional to 1,691,628 and 3,647,329.50 is: 7,864,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,628 : 3,647,329.50 = 3,647,329.50 : x
  2. Step 2: Convert to fraction form
    1,691,628/3,647,329.50 = 3,647,329.50/x
  3. Step 3: Cross multiply
    1,691,628x = 3,647,329.50 × 3,647,329.50
  4. Step 4: Simplify right side
    1,691,628x = 13,303,012,481,570.25
  5. Step 5: Solve for x
    x = 13,303,012,481,570.25/1,691,628
  6. Step 6: Final answer
    x = 7,864,029.49

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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.