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Finding the Third Proportional to 699,720 and 1,449,232

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Solution

The third proportional to 699,720 and 1,449,232 is: 3,001,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,720 : 1,449,232 = 1,449,232 : x
  2. Step 2: Convert to fraction form
    699,720/1,449,232 = 1,449,232/x
  3. Step 3: Cross multiply
    699,720x = 1,449,232 × 1,449,232
  4. Step 4: Simplify right side
    699,720x = 2,100,273,389,824
  5. Step 5: Solve for x
    x = 2,100,273,389,824/699,720
  6. Step 6: Final answer
    x = 3,001,591.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.