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Finding the Third Proportional to 2,285,008 and 5,413,588

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Solution

The third proportional to 2,285,008 and 5,413,588 is: 12,825,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,008 : 5,413,588 = 5,413,588 : x
  2. Step 2: Convert to fraction form
    2,285,008/5,413,588 = 5,413,588/x
  3. Step 3: Cross multiply
    2,285,008x = 5,413,588 × 5,413,588
  4. Step 4: Simplify right side
    2,285,008x = 29,306,935,033,744
  5. Step 5: Solve for x
    x = 29,306,935,033,744/2,285,008
  6. Step 6: Final answer
    x = 12,825,747.23

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.