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Finding the Third Proportional to 2,992,196 and 6,197,233

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Solution

The third proportional to 2,992,196 and 6,197,233 is: 12,835,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,196 : 6,197,233 = 6,197,233 : x
  2. Step 2: Convert to fraction form
    2,992,196/6,197,233 = 6,197,233/x
  3. Step 3: Cross multiply
    2,992,196x = 6,197,233 × 6,197,233
  4. Step 4: Simplify right side
    2,992,196x = 38,405,696,856,289
  5. Step 5: Solve for x
    x = 38,405,696,856,289/2,992,196
  6. Step 6: Final answer
    x = 12,835,287.81

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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.