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Finding the Third Proportional to 2,893,324 and 6,185,249

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Solution

The third proportional to 2,893,324 and 6,185,249 is: 13,222,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893,324 : 6,185,249 = 6,185,249 : x
  2. Step 2: Convert to fraction form
    2,893,324/6,185,249 = 6,185,249/x
  3. Step 3: Cross multiply
    2,893,324x = 6,185,249 × 6,185,249
  4. Step 4: Simplify right side
    2,893,324x = 38,257,305,192,001
  5. Step 5: Solve for x
    x = 38,257,305,192,001/2,893,324
  6. Step 6: Final answer
    x = 13,222,613.57

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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.