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Finding the Third Proportional to 1,524,764.81 and 2,236,222.27

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Solution

The third proportional to 1,524,764.81 and 2,236,222.27 is: 3,279,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,764.81 : 2,236,222.27 = 2,236,222.27 : x
  2. Step 2: Convert to fraction form
    1,524,764.81/2,236,222.27 = 2,236,222.27/x
  3. Step 3: Cross multiply
    1,524,764.81x = 2,236,222.27 × 2,236,222.27
  4. Step 4: Simplify right side
    1,524,764.81x = 5,000,690,021,277.01
  5. Step 5: Solve for x
    x = 5,000,690,021,277.01/1,524,764.81
  6. Step 6: Final answer
    x = 3,279,646.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.