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Finding the Third Proportional to 2,586,006 and 5,487,227

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Solution

The third proportional to 2,586,006 and 5,487,227 is: 11,643,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,006 : 5,487,227 = 5,487,227 : x
  2. Step 2: Convert to fraction form
    2,586,006/5,487,227 = 5,487,227/x
  3. Step 3: Cross multiply
    2,586,006x = 5,487,227 × 5,487,227
  4. Step 4: Simplify right side
    2,586,006x = 30,109,660,149,529
  5. Step 5: Solve for x
    x = 30,109,660,149,529/2,586,006
  6. Step 6: Final answer
    x = 11,643,306.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.