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Finding the Third Proportional to 2,394,816 and 5,121,696

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Solution

The third proportional to 2,394,816 and 5,121,696 is: 10,953,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394,816 : 5,121,696 = 5,121,696 : x
  2. Step 2: Convert to fraction form
    2,394,816/5,121,696 = 5,121,696/x
  3. Step 3: Cross multiply
    2,394,816x = 5,121,696 × 5,121,696
  4. Step 4: Simplify right side
    2,394,816x = 26,231,769,916,416
  5. Step 5: Solve for x
    x = 26,231,769,916,416/2,394,816
  6. Step 6: Final answer
    x = 10,953,563.83

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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.