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Finding the Third Proportional to 694,114 and 1,407,546

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Solution

The third proportional to 694,114 and 1,407,546 is: 2,854,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,114 : 1,407,546 = 1,407,546 : x
  2. Step 2: Convert to fraction form
    694,114/1,407,546 = 1,407,546/x
  3. Step 3: Cross multiply
    694,114x = 1,407,546 × 1,407,546
  4. Step 4: Simplify right side
    694,114x = 1,981,185,742,116
  5. Step 5: Solve for x
    x = 1,981,185,742,116/694,114
  6. Step 6: Final answer
    x = 2,854,265.64

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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.