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Finding the Third Proportional to 694,105 and 1,407,528

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Solution

The third proportional to 694,105 and 1,407,528 is: 2,854,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,105 : 1,407,528 = 1,407,528 : x
  2. Step 2: Convert to fraction form
    694,105/1,407,528 = 1,407,528/x
  3. Step 3: Cross multiply
    694,105x = 1,407,528 × 1,407,528
  4. Step 4: Simplify right side
    694,105x = 1,981,135,070,784
  5. Step 5: Solve for x
    x = 1,981,135,070,784/694,105
  6. Step 6: Final answer
    x = 2,854,229.65

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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.