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Finding the Third Proportional to 1,282,814 and 2,769,018

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Solution

The third proportional to 1,282,814 and 2,769,018 is: 5,977,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,814 : 2,769,018 = 2,769,018 : x
  2. Step 2: Convert to fraction form
    1,282,814/2,769,018 = 2,769,018/x
  3. Step 3: Cross multiply
    1,282,814x = 2,769,018 × 2,769,018
  4. Step 4: Simplify right side
    1,282,814x = 7,667,460,684,324
  5. Step 5: Solve for x
    x = 7,667,460,684,324/1,282,814
  6. Step 6: Final answer
    x = 5,977,063.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.