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Finding the Third Proportional to 1,396,424 and 2,135,216

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Solution

The third proportional to 1,396,424 and 2,135,216 is: 3,264,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,424 : 2,135,216 = 2,135,216 : x
  2. Step 2: Convert to fraction form
    1,396,424/2,135,216 = 2,135,216/x
  3. Step 3: Cross multiply
    1,396,424x = 2,135,216 × 2,135,216
  4. Step 4: Simplify right side
    1,396,424x = 4,559,147,366,656
  5. Step 5: Solve for x
    x = 4,559,147,366,656/1,396,424
  6. Step 6: Final answer
    x = 3,264,873.25

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Why These Related Problems?

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