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Finding the Third Proportional to 605,745 and 1,321,515.75

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Solution

The third proportional to 605,745 and 1,321,515.75 is: 2,883,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,745 : 1,321,515.75 = 1,321,515.75 : x
  2. Step 2: Convert to fraction form
    605,745/1,321,515.75 = 1,321,515.75/x
  3. Step 3: Cross multiply
    605,745x = 1,321,515.75 × 1,321,515.75
  4. Step 4: Simplify right side
    605,745x = 1,746,403,877,498.06
  5. Step 5: Solve for x
    x = 1,746,403,877,498.06/605,745
  6. Step 6: Final answer
    x = 2,883,067.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.