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Finding the Third Proportional to 665,067 and 1,424,634

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Solution

The third proportional to 665,067 and 1,424,634 is: 3,051,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,067 : 1,424,634 = 1,424,634 : x
  2. Step 2: Convert to fraction form
    665,067/1,424,634 = 1,424,634/x
  3. Step 3: Cross multiply
    665,067x = 1,424,634 × 1,424,634
  4. Step 4: Simplify right side
    665,067x = 2,029,582,033,956
  5. Step 5: Solve for x
    x = 2,029,582,033,956/665,067
  6. Step 6: Final answer
    x = 3,051,695.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.