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Finding the Third Proportional to 2,769,248 and 5,981,368

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Solution

The third proportional to 2,769,248 and 5,981,368 is: 12,919,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,248 : 5,981,368 = 5,981,368 : x
  2. Step 2: Convert to fraction form
    2,769,248/5,981,368 = 5,981,368/x
  3. Step 3: Cross multiply
    2,769,248x = 5,981,368 × 5,981,368
  4. Step 4: Simplify right side
    2,769,248x = 35,776,763,151,424
  5. Step 5: Solve for x
    x = 35,776,763,151,424/2,769,248
  6. Step 6: Final answer
    x = 12,919,306.31

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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.