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Finding the Third Proportional to 699,705 and 1,449,198

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Solution

The third proportional to 699,705 and 1,449,198 is: 3,001,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,705 : 1,449,198 = 1,449,198 : x
  2. Step 2: Convert to fraction form
    699,705/1,449,198 = 1,449,198/x
  3. Step 3: Cross multiply
    699,705x = 1,449,198 × 1,449,198
  4. Step 4: Simplify right side
    699,705x = 2,100,174,843,204
  5. Step 5: Solve for x
    x = 2,100,174,843,204/699,705
  6. Step 6: Final answer
    x = 3,001,514.70

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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.