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Finding the Third Proportional to 431,131 and 889,934

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Solution

The third proportional to 431,131 and 889,934 is: 1,836,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,131 : 889,934 = 889,934 : x
  2. Step 2: Convert to fraction form
    431,131/889,934 = 889,934/x
  3. Step 3: Cross multiply
    431,131x = 889,934 × 889,934
  4. Step 4: Simplify right side
    431,131x = 791,982,524,356
  5. Step 5: Solve for x
    x = 791,982,524,356/431,131
  6. Step 6: Final answer
    x = 1,836,988.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.