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Finding the Third Proportional to 2,879,823 and 6,187,019

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Solution

The third proportional to 2,879,823 and 6,187,019 is: 13,292,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,823 : 6,187,019 = 6,187,019 : x
  2. Step 2: Convert to fraction form
    2,879,823/6,187,019 = 6,187,019/x
  3. Step 3: Cross multiply
    2,879,823x = 6,187,019 × 6,187,019
  4. Step 4: Simplify right side
    2,879,823x = 38,279,204,106,361
  5. Step 5: Solve for x
    x = 38,279,204,106,361/2,879,823
  6. Step 6: Final answer
    x = 13,292,207.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.