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Finding the Third Proportional to 2,606,817 and 5,451,983

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Solution

The third proportional to 2,606,817 and 5,451,983 is: 11,402,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,817 : 5,451,983 = 5,451,983 : x
  2. Step 2: Convert to fraction form
    2,606,817/5,451,983 = 5,451,983/x
  3. Step 3: Cross multiply
    2,606,817x = 5,451,983 × 5,451,983
  4. Step 4: Simplify right side
    2,606,817x = 29,724,118,632,289
  5. Step 5: Solve for x
    x = 29,724,118,632,289/2,606,817
  6. Step 6: Final answer
    x = 11,402,456.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.