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Finding the Third Proportional to 1,052,078 and 1,538,742

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Solution

The third proportional to 1,052,078 and 1,538,742 is: 2,250,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,078 : 1,538,742 = 1,538,742 : x
  2. Step 2: Convert to fraction form
    1,052,078/1,538,742 = 1,538,742/x
  3. Step 3: Cross multiply
    1,052,078x = 1,538,742 × 1,538,742
  4. Step 4: Simplify right side
    1,052,078x = 2,367,726,942,564
  5. Step 5: Solve for x
    x = 2,367,726,942,564/1,052,078
  6. Step 6: Final answer
    x = 2,250,524.15

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