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Finding the Third Proportional to 427,716.75 and 918,612.75

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Solution

The third proportional to 427,716.75 and 918,612.75 is: 1,972,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,716.75 : 918,612.75 = 918,612.75 : x
  2. Step 2: Convert to fraction form
    427,716.75/918,612.75 = 918,612.75/x
  3. Step 3: Cross multiply
    427,716.75x = 918,612.75 × 918,612.75
  4. Step 4: Simplify right side
    427,716.75x = 843,849,384,462.56
  5. Step 5: Solve for x
    x = 843,849,384,462.56/427,716.75
  6. Step 6: Final answer
    x = 1,972,916.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.