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Finding the Third Proportional to 632,162 and 1,397,272

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Solution

The third proportional to 632,162 and 1,397,272 is: 3,088,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,162 : 1,397,272 = 1,397,272 : x
  2. Step 2: Convert to fraction form
    632,162/1,397,272 = 1,397,272/x
  3. Step 3: Cross multiply
    632,162x = 1,397,272 × 1,397,272
  4. Step 4: Simplify right side
    632,162x = 1,952,369,041,984
  5. Step 5: Solve for x
    x = 1,952,369,041,984/632,162
  6. Step 6: Final answer
    x = 3,088,399.88

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.