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Finding the Third Proportional to 418,084 and 903,248

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Solution

The third proportional to 418,084 and 903,248 is: 1,951,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,084 : 903,248 = 903,248 : x
  2. Step 2: Convert to fraction form
    418,084/903,248 = 903,248/x
  3. Step 3: Cross multiply
    418,084x = 903,248 × 903,248
  4. Step 4: Simplify right side
    418,084x = 815,856,949,504
  5. Step 5: Solve for x
    x = 815,856,949,504/418,084
  6. Step 6: Final answer
    x = 1,951,418.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.