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Finding the Third Proportional to 925,285 and 1,380,228

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Solution

The third proportional to 925,285 and 1,380,228 is: 2,058,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,285 : 1,380,228 = 1,380,228 : x
  2. Step 2: Convert to fraction form
    925,285/1,380,228 = 1,380,228/x
  3. Step 3: Cross multiply
    925,285x = 1,380,228 × 1,380,228
  4. Step 4: Simplify right side
    925,285x = 1,905,029,331,984
  5. Step 5: Solve for x
    x = 1,905,029,331,984/925,285
  6. Step 6: Final answer
    x = 2,058,856.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.