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Finding the Third Proportional to 2,782,816.50 and 4,256,982.75

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Solution

The third proportional to 2,782,816.50 and 4,256,982.75 is: 6,512,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,816.50 : 4,256,982.75 = 4,256,982.75 : x
  2. Step 2: Convert to fraction form
    2,782,816.50/4,256,982.75 = 4,256,982.75/x
  3. Step 3: Cross multiply
    2,782,816.50x = 4,256,982.75 × 4,256,982.75
  4. Step 4: Simplify right side
    2,782,816.50x = 18,121,902,133,797.56
  5. Step 5: Solve for x
    x = 18,121,902,133,797.56/2,782,816.50
  6. Step 6: Final answer
    x = 6,512,072.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.