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Finding the Third Proportional to 1,709,424 and 3,647,652

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Solution

The third proportional to 1,709,424 and 3,647,652 is: 7,783,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,424 : 3,647,652 = 3,647,652 : x
  2. Step 2: Convert to fraction form
    1,709,424/3,647,652 = 3,647,652/x
  3. Step 3: Cross multiply
    1,709,424x = 3,647,652 × 3,647,652
  4. Step 4: Simplify right side
    1,709,424x = 13,305,365,113,104
  5. Step 5: Solve for x
    x = 13,305,365,113,104/1,709,424
  6. Step 6: Final answer
    x = 7,783,537.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.