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Finding the Third Proportional to 1,191,019 and 2,596,162

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Solution

The third proportional to 1,191,019 and 2,596,162 is: 5,659,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,019 : 2,596,162 = 2,596,162 : x
  2. Step 2: Convert to fraction form
    1,191,019/2,596,162 = 2,596,162/x
  3. Step 3: Cross multiply
    1,191,019x = 2,596,162 × 2,596,162
  4. Step 4: Simplify right side
    1,191,019x = 6,740,057,130,244
  5. Step 5: Solve for x
    x = 6,740,057,130,244/1,191,019
  6. Step 6: Final answer
    x = 5,659,067.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.