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Finding the Third Proportional to 1,524,671.44 and 2,032,619.06

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Solution

The third proportional to 1,524,671.44 and 2,032,619.06 is: 2,709,790.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,671.44 : 2,032,619.06 = 2,032,619.06 : x
  2. Step 2: Convert to fraction form
    1,524,671.44/2,032,619.06 = 2,032,619.06/x
  3. Step 3: Cross multiply
    1,524,671.44x = 2,032,619.06 × 2,032,619.06
  4. Step 4: Simplify right side
    1,524,671.44x = 4,131,540,253,238.38
  5. Step 5: Solve for x
    x = 4,131,540,253,238.38/1,524,671.44
  6. Step 6: Final answer
    x = 2,709,790.55

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.