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Finding the Third Proportional to 685,656 and 1,489,244

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Solution

The third proportional to 685,656 and 1,489,244 is: 3,234,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,656 : 1,489,244 = 1,489,244 : x
  2. Step 2: Convert to fraction form
    685,656/1,489,244 = 1,489,244/x
  3. Step 3: Cross multiply
    685,656x = 1,489,244 × 1,489,244
  4. Step 4: Simplify right side
    685,656x = 2,217,847,691,536
  5. Step 5: Solve for x
    x = 2,217,847,691,536/685,656
  6. Step 6: Final answer
    x = 3,234,636.16

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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.