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Finding the Third Proportional to 617,769 and 1,265,640.75

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Solution

The third proportional to 617,769 and 1,265,640.75 is: 2,592,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,769 : 1,265,640.75 = 1,265,640.75 : x
  2. Step 2: Convert to fraction form
    617,769/1,265,640.75 = 1,265,640.75/x
  3. Step 3: Cross multiply
    617,769x = 1,265,640.75 × 1,265,640.75
  4. Step 4: Simplify right side
    617,769x = 1,601,846,508,060.56
  5. Step 5: Solve for x
    x = 1,601,846,508,060.56/617,769
  6. Step 6: Final answer
    x = 2,592,953.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.