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Finding the Third Proportional to 1,136,781 and 2,431,107

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Solution

The third proportional to 1,136,781 and 2,431,107 is: 5,199,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,781 : 2,431,107 = 2,431,107 : x
  2. Step 2: Convert to fraction form
    1,136,781/2,431,107 = 2,431,107/x
  3. Step 3: Cross multiply
    1,136,781x = 2,431,107 × 2,431,107
  4. Step 4: Simplify right side
    1,136,781x = 5,910,281,245,449
  5. Step 5: Solve for x
    x = 5,910,281,245,449/1,136,781
  6. Step 6: Final answer
    x = 5,199,137.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.