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Finding the Third Proportional to 438,056 and 950,472

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Solution

The third proportional to 438,056 and 950,472 is: 2,062,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,056 : 950,472 = 950,472 : x
  2. Step 2: Convert to fraction form
    438,056/950,472 = 950,472/x
  3. Step 3: Cross multiply
    438,056x = 950,472 × 950,472
  4. Step 4: Simplify right side
    438,056x = 903,397,022,784
  5. Step 5: Solve for x
    x = 903,397,022,784/438,056
  6. Step 6: Final answer
    x = 2,062,286.61

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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.