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Finding the Third Proportional to 685,581.75 and 1,485,567

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Solution

The third proportional to 685,581.75 and 1,485,567 is: 3,219,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,581.75 : 1,485,567 = 1,485,567 : x
  2. Step 2: Convert to fraction form
    685,581.75/1,485,567 = 1,485,567/x
  3. Step 3: Cross multiply
    685,581.75x = 1,485,567 × 1,485,567
  4. Step 4: Simplify right side
    685,581.75x = 2,206,909,311,489
  5. Step 5: Solve for x
    x = 2,206,909,311,489/685,581.75
  6. Step 6: Final answer
    x = 3,219,031.59

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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.