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Finding the Third Proportional to 694,128 and 1,407,576

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Solution

The third proportional to 694,128 and 1,407,576 is: 2,854,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,128 : 1,407,576 = 1,407,576 : x
  2. Step 2: Convert to fraction form
    694,128/1,407,576 = 1,407,576/x
  3. Step 3: Cross multiply
    694,128x = 1,407,576 × 1,407,576
  4. Step 4: Simplify right side
    694,128x = 1,981,270,195,776
  5. Step 5: Solve for x
    x = 1,981,270,195,776/694,128
  6. Step 6: Final answer
    x = 2,854,329.74

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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.