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Finding the Third Proportional to 635,838 and 1,397,166

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Solution

The third proportional to 635,838 and 1,397,166 is: 3,070,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,838 : 1,397,166 = 1,397,166 : x
  2. Step 2: Convert to fraction form
    635,838/1,397,166 = 1,397,166/x
  3. Step 3: Cross multiply
    635,838x = 1,397,166 × 1,397,166
  4. Step 4: Simplify right side
    635,838x = 1,952,072,831,556
  5. Step 5: Solve for x
    x = 1,952,072,831,556/635,838
  6. Step 6: Final answer
    x = 3,070,078.91

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