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Finding the Third Proportional to 2,104,608 and 3,389,489

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Solution

The third proportional to 2,104,608 and 3,389,489 is: 5,458,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104,608 : 3,389,489 = 3,389,489 : x
  2. Step 2: Convert to fraction form
    2,104,608/3,389,489 = 3,389,489/x
  3. Step 3: Cross multiply
    2,104,608x = 3,389,489 × 3,389,489
  4. Step 4: Simplify right side
    2,104,608x = 11,488,635,681,121
  5. Step 5: Solve for x
    x = 11,488,635,681,121/2,104,608
  6. Step 6: Final answer
    x = 5,458,800.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.