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Finding the Third Proportional to 823,672.13 and 1,510,656.75

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Solution

The third proportional to 823,672.13 and 1,510,656.75 is: 2,770,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,672.13 : 1,510,656.75 = 1,510,656.75 : x
  2. Step 2: Convert to fraction form
    823,672.13/1,510,656.75 = 1,510,656.75/x
  3. Step 3: Cross multiply
    823,672.13x = 1,510,656.75 × 1,510,656.75
  4. Step 4: Simplify right side
    823,672.13x = 2,282,083,816,320.56
  5. Step 5: Solve for x
    x = 2,282,083,816,320.56/823,672.13
  6. Step 6: Final answer
    x = 2,770,621.64

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.