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Finding the Third Proportional to 605,409.75 and 1,284,612.75

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Solution

The third proportional to 605,409.75 and 1,284,612.75 is: 2,725,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,409.75 : 1,284,612.75 = 1,284,612.75 : x
  2. Step 2: Convert to fraction form
    605,409.75/1,284,612.75 = 1,284,612.75/x
  3. Step 3: Cross multiply
    605,409.75x = 1,284,612.75 × 1,284,612.75
  4. Step 4: Simplify right side
    605,409.75x = 1,650,229,917,462.56
  5. Step 5: Solve for x
    x = 1,650,229,917,462.56/605,409.75
  6. Step 6: Final answer
    x = 2,725,806.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.