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Finding the Third Proportional to 635,214 and 1,394,856

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Solution

The third proportional to 635,214 and 1,394,856 is: 3,062,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,214 : 1,394,856 = 1,394,856 : x
  2. Step 2: Convert to fraction form
    635,214/1,394,856 = 1,394,856/x
  3. Step 3: Cross multiply
    635,214x = 1,394,856 × 1,394,856
  4. Step 4: Simplify right side
    635,214x = 1,945,623,260,736
  5. Step 5: Solve for x
    x = 1,945,623,260,736/635,214
  6. Step 6: Final answer
    x = 3,062,941.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.