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Finding the Third Proportional to 703,912 and 1,659,924

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Solution

The third proportional to 703,912 and 1,659,924 is: 3,914,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,912 : 1,659,924 = 1,659,924 : x
  2. Step 2: Convert to fraction form
    703,912/1,659,924 = 1,659,924/x
  3. Step 3: Cross multiply
    703,912x = 1,659,924 × 1,659,924
  4. Step 4: Simplify right side
    703,912x = 2,755,347,685,776
  5. Step 5: Solve for x
    x = 2,755,347,685,776/703,912
  6. Step 6: Final answer
    x = 3,914,335.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.