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Finding the Third Proportional to 2,879,736 and 6,301,872

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Solution

The third proportional to 2,879,736 and 6,301,872 is: 13,790,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,736 : 6,301,872 = 6,301,872 : x
  2. Step 2: Convert to fraction form
    2,879,736/6,301,872 = 6,301,872/x
  3. Step 3: Cross multiply
    2,879,736x = 6,301,872 × 6,301,872
  4. Step 4: Simplify right side
    2,879,736x = 39,713,590,704,384
  5. Step 5: Solve for x
    x = 39,713,590,704,384/2,879,736
  6. Step 6: Final answer
    x = 13,790,705.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.