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Finding the Third Proportional to 431,238 and 937,074

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Solution

The third proportional to 431,238 and 937,074 is: 2,036,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,238 : 937,074 = 937,074 : x
  2. Step 2: Convert to fraction form
    431,238/937,074 = 937,074/x
  3. Step 3: Cross multiply
    431,238x = 937,074 × 937,074
  4. Step 4: Simplify right side
    431,238x = 878,107,681,476
  5. Step 5: Solve for x
    x = 878,107,681,476/431,238
  6. Step 6: Final answer
    x = 2,036,248.39

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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.