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Finding the Third Proportional to 2,382,021 and 5,192,289

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Solution

The third proportional to 2,382,021 and 5,192,289 is: 11,318,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382,021 : 5,192,289 = 5,192,289 : x
  2. Step 2: Convert to fraction form
    2,382,021/5,192,289 = 5,192,289/x
  3. Step 3: Cross multiply
    2,382,021x = 5,192,289 × 5,192,289
  4. Step 4: Simplify right side
    2,382,021x = 26,959,865,059,521
  5. Step 5: Solve for x
    x = 26,959,865,059,521/2,382,021
  6. Step 6: Final answer
    x = 11,318,063.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.