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Finding the Third Proportional to 694,125 and 1,407,570

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Solution

The third proportional to 694,125 and 1,407,570 is: 2,854,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,125 : 1,407,570 = 1,407,570 : x
  2. Step 2: Convert to fraction form
    694,125/1,407,570 = 1,407,570/x
  3. Step 3: Cross multiply
    694,125x = 1,407,570 × 1,407,570
  4. Step 4: Simplify right side
    694,125x = 1,981,253,304,900
  5. Step 5: Solve for x
    x = 1,981,253,304,900/694,125
  6. Step 6: Final answer
    x = 2,854,317.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.