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Finding the Third Proportional to 1,069,794 and 2,188,775.25

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Solution

The third proportional to 1,069,794 and 2,188,775.25 is: 4,478,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,794 : 2,188,775.25 = 2,188,775.25 : x
  2. Step 2: Convert to fraction form
    1,069,794/2,188,775.25 = 2,188,775.25/x
  3. Step 3: Cross multiply
    1,069,794x = 2,188,775.25 × 2,188,775.25
  4. Step 4: Simplify right side
    1,069,794x = 4,790,737,095,012.56
  5. Step 5: Solve for x
    x = 4,790,737,095,012.56/1,069,794
  6. Step 6: Final answer
    x = 4,478,186.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.