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Finding the Third Proportional to 431,361 and 937,241

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Solution

The third proportional to 431,361 and 937,241 is: 2,036,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,361 : 937,241 = 937,241 : x
  2. Step 2: Convert to fraction form
    431,361/937,241 = 937,241/x
  3. Step 3: Cross multiply
    431,361x = 937,241 × 937,241
  4. Step 4: Simplify right side
    431,361x = 878,420,692,081
  5. Step 5: Solve for x
    x = 878,420,692,081/431,361
  6. Step 6: Final answer
    x = 2,036,393.40

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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.