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Finding the Third Proportional to 685,509 and 1,485,425

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Solution

The third proportional to 685,509 and 1,485,425 is: 3,218,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,509 : 1,485,425 = 1,485,425 : x
  2. Step 2: Convert to fraction form
    685,509/1,485,425 = 1,485,425/x
  3. Step 3: Cross multiply
    685,509x = 1,485,425 × 1,485,425
  4. Step 4: Simplify right side
    685,509x = 2,206,487,430,625
  5. Step 5: Solve for x
    x = 2,206,487,430,625/685,509
  6. Step 6: Final answer
    x = 3,218,757.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.