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Finding the Third Proportional to 431,279 and 935,863

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Solution

The third proportional to 431,279 and 935,863 is: 2,030,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,279 : 935,863 = 935,863 : x
  2. Step 2: Convert to fraction form
    431,279/935,863 = 935,863/x
  3. Step 3: Cross multiply
    431,279x = 935,863 × 935,863
  4. Step 4: Simplify right side
    431,279x = 875,839,554,769
  5. Step 5: Solve for x
    x = 875,839,554,769/431,279
  6. Step 6: Final answer
    x = 2,030,795.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.