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Finding the Third Proportional to 1,653,993 and 2,599,227

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Solution

The third proportional to 1,653,993 and 2,599,227 is: 4,084,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,993 : 2,599,227 = 2,599,227 : x
  2. Step 2: Convert to fraction form
    1,653,993/2,599,227 = 2,599,227/x
  3. Step 3: Cross multiply
    1,653,993x = 2,599,227 × 2,599,227
  4. Step 4: Simplify right side
    1,653,993x = 6,755,980,997,529
  5. Step 5: Solve for x
    x = 6,755,980,997,529/1,653,993
  6. Step 6: Final answer
    x = 4,084,649.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.