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Finding the Third Proportional to 2,955,198 and 6,414,826

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Solution

The third proportional to 2,955,198 and 6,414,826 is: 13,924,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,198 : 6,414,826 = 6,414,826 : x
  2. Step 2: Convert to fraction form
    2,955,198/6,414,826 = 6,414,826/x
  3. Step 3: Cross multiply
    2,955,198x = 6,414,826 × 6,414,826
  4. Step 4: Simplify right side
    2,955,198x = 41,149,992,610,276
  5. Step 5: Solve for x
    x = 41,149,992,610,276/2,955,198
  6. Step 6: Final answer
    x = 13,924,614.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.