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Finding the Third Proportional to 927,648.75 and 2,013,923.25

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Solution

The third proportional to 927,648.75 and 2,013,923.25 is: 4,372,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,648.75 : 2,013,923.25 = 2,013,923.25 : x
  2. Step 2: Convert to fraction form
    927,648.75/2,013,923.25 = 2,013,923.25/x
  3. Step 3: Cross multiply
    927,648.75x = 2,013,923.25 × 2,013,923.25
  4. Step 4: Simplify right side
    927,648.75x = 4,055,886,856,890.56
  5. Step 5: Solve for x
    x = 4,055,886,856,890.56/927,648.75
  6. Step 6: Final answer
    x = 4,372,222.63

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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.