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Finding the Third Proportional to 2,769,213 and 5,981,295

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Solution

The third proportional to 2,769,213 and 5,981,295 is: 12,919,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,213 : 5,981,295 = 5,981,295 : x
  2. Step 2: Convert to fraction form
    2,769,213/5,981,295 = 5,981,295/x
  3. Step 3: Cross multiply
    2,769,213x = 5,981,295 × 5,981,295
  4. Step 4: Simplify right side
    2,769,213x = 35,775,889,877,025
  5. Step 5: Solve for x
    x = 35,775,889,877,025/2,769,213
  6. Step 6: Final answer
    x = 12,919,154.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.