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Finding the Third Proportional to 649,838 and 1,449,097

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Solution

The third proportional to 649,838 and 1,449,097 is: 3,231,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,838 : 1,449,097 = 1,449,097 : x
  2. Step 2: Convert to fraction form
    649,838/1,449,097 = 1,449,097/x
  3. Step 3: Cross multiply
    649,838x = 1,449,097 × 1,449,097
  4. Step 4: Simplify right side
    649,838x = 2,099,882,115,409
  5. Step 5: Solve for x
    x = 2,099,882,115,409/649,838
  6. Step 6: Final answer
    x = 3,231,393.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.