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Finding the Third Proportional to 925,228 and 2,141,771

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Solution

The third proportional to 925,228 and 2,141,771 is: 4,957,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,228 : 2,141,771 = 2,141,771 : x
  2. Step 2: Convert to fraction form
    925,228/2,141,771 = 2,141,771/x
  3. Step 3: Cross multiply
    925,228x = 2,141,771 × 2,141,771
  4. Step 4: Simplify right side
    925,228x = 4,587,183,016,441
  5. Step 5: Solve for x
    x = 4,587,183,016,441/925,228
  6. Step 6: Final answer
    x = 4,957,894.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.