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Finding the Third Proportional to 2,342,042 and 5,222,593

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Solution

The third proportional to 2,342,042 and 5,222,593 is: 11,646,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342,042 : 5,222,593 = 5,222,593 : x
  2. Step 2: Convert to fraction form
    2,342,042/5,222,593 = 5,222,593/x
  3. Step 3: Cross multiply
    2,342,042x = 5,222,593 × 5,222,593
  4. Step 4: Simplify right side
    2,342,042x = 27,275,477,643,649
  5. Step 5: Solve for x
    x = 27,275,477,643,649/2,342,042
  6. Step 6: Final answer
    x = 11,646,024.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.