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Finding the Third Proportional to 609,016 and 1,339,532

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Solution

The third proportional to 609,016 and 1,339,532 is: 2,946,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,016 : 1,339,532 = 1,339,532 : x
  2. Step 2: Convert to fraction form
    609,016/1,339,532 = 1,339,532/x
  3. Step 3: Cross multiply
    609,016x = 1,339,532 × 1,339,532
  4. Step 4: Simplify right side
    609,016x = 1,794,345,979,024
  5. Step 5: Solve for x
    x = 1,794,345,979,024/609,016
  6. Step 6: Final answer
    x = 2,946,303.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.