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Finding the Third Proportional to 2,992,194 and 6,197,229

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Solution

The third proportional to 2,992,194 and 6,197,229 is: 12,835,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,194 : 6,197,229 = 6,197,229 : x
  2. Step 2: Convert to fraction form
    2,992,194/6,197,229 = 6,197,229/x
  3. Step 3: Cross multiply
    2,992,194x = 6,197,229 × 6,197,229
  4. Step 4: Simplify right side
    2,992,194x = 38,405,647,278,441
  5. Step 5: Solve for x
    x = 38,405,647,278,441/2,992,194
  6. Step 6: Final answer
    x = 12,835,279.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.