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Finding the Third Proportional to 1,540,597.50 and 2,253,843

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Solution

The third proportional to 1,540,597.50 and 2,253,843 is: 3,297,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,597.50 : 2,253,843 = 2,253,843 : x
  2. Step 2: Convert to fraction form
    1,540,597.50/2,253,843 = 2,253,843/x
  3. Step 3: Cross multiply
    1,540,597.50x = 2,253,843 × 2,253,843
  4. Step 4: Simplify right side
    1,540,597.50x = 5,079,808,268,649
  5. Step 5: Solve for x
    x = 5,079,808,268,649/1,540,597.50
  6. Step 6: Final answer
    x = 3,297,297.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.