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Finding the Third Proportional to 2,599,945 and 5,797,350

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Solution

The third proportional to 2,599,945 and 5,797,350 is: 12,926,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599,945 : 5,797,350 = 5,797,350 : x
  2. Step 2: Convert to fraction form
    2,599,945/5,797,350 = 5,797,350/x
  3. Step 3: Cross multiply
    2,599,945x = 5,797,350 × 5,797,350
  4. Step 4: Simplify right side
    2,599,945x = 33,609,267,022,500
  5. Step 5: Solve for x
    x = 33,609,267,022,500/2,599,945
  6. Step 6: Final answer
    x = 12,926,914.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.