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Finding the Third Proportional to 2,857,819 and 6,108,668

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Solution

The third proportional to 2,857,819 and 6,108,668 is: 13,057,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,819 : 6,108,668 = 6,108,668 : x
  2. Step 2: Convert to fraction form
    2,857,819/6,108,668 = 6,108,668/x
  3. Step 3: Cross multiply
    2,857,819x = 6,108,668 × 6,108,668
  4. Step 4: Simplify right side
    2,857,819x = 37,315,824,734,224
  5. Step 5: Solve for x
    x = 37,315,824,734,224/2,857,819
  6. Step 6: Final answer
    x = 13,057,448.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.