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Finding the Third Proportional to 1,729,917 and 2,580,553.69

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Solution

The third proportional to 1,729,917 and 2,580,553.69 is: 3,849,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,917 : 2,580,553.69 = 2,580,553.69 : x
  2. Step 2: Convert to fraction form
    1,729,917/2,580,553.69 = 2,580,553.69/x
  3. Step 3: Cross multiply
    1,729,917x = 2,580,553.69 × 2,580,553.69
  4. Step 4: Simplify right side
    1,729,917x = 6,659,257,334,069.85
  5. Step 5: Solve for x
    x = 6,659,257,334,069.85/1,729,917
  6. Step 6: Final answer
    x = 3,849,466.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.