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Finding the Third Proportional to 635,380 and 1,397,120

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Solution

The third proportional to 635,380 and 1,397,120 is: 3,072,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,380 : 1,397,120 = 1,397,120 : x
  2. Step 2: Convert to fraction form
    635,380/1,397,120 = 1,397,120/x
  3. Step 3: Cross multiply
    635,380x = 1,397,120 × 1,397,120
  4. Step 4: Simplify right side
    635,380x = 1,951,944,294,400
  5. Step 5: Solve for x
    x = 1,951,944,294,400/635,380
  6. Step 6: Final answer
    x = 3,072,089.61

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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.