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Finding the Third Proportional to 1,526,736.94 and 2,325,923.44

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Solution

The third proportional to 1,526,736.94 and 2,325,923.44 is: 3,543,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,736.94 : 2,325,923.44 = 2,325,923.44 : x
  2. Step 2: Convert to fraction form
    1,526,736.94/2,325,923.44 = 2,325,923.44/x
  3. Step 3: Cross multiply
    1,526,736.94x = 2,325,923.44 × 2,325,923.44
  4. Step 4: Simplify right side
    1,526,736.94x = 5,409,919,837,111.82
  5. Step 5: Solve for x
    x = 5,409,919,837,111.82/1,526,736.94
  6. Step 6: Final answer
    x = 3,543,452.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.