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Finding the Third Proportional to 1,396,422 and 2,135,214

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Solution

The third proportional to 1,396,422 and 2,135,214 is: 3,264,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,422 : 2,135,214 = 2,135,214 : x
  2. Step 2: Convert to fraction form
    1,396,422/2,135,214 = 2,135,214/x
  3. Step 3: Cross multiply
    1,396,422x = 2,135,214 × 2,135,214
  4. Step 4: Simplify right side
    1,396,422x = 4,559,138,825,796
  5. Step 5: Solve for x
    x = 4,559,138,825,796/1,396,422
  6. Step 6: Final answer
    x = 3,264,871.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.