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Finding the Third Proportional to 1,013,742 and 2,194,782

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Solution

The third proportional to 1,013,742 and 2,194,782 is: 4,751,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,742 : 2,194,782 = 2,194,782 : x
  2. Step 2: Convert to fraction form
    1,013,742/2,194,782 = 2,194,782/x
  3. Step 3: Cross multiply
    1,013,742x = 2,194,782 × 2,194,782
  4. Step 4: Simplify right side
    1,013,742x = 4,817,068,027,524
  5. Step 5: Solve for x
    x = 4,817,068,027,524/1,013,742
  6. Step 6: Final answer
    x = 4,751,769.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.