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Finding the Third Proportional to 899,894.25 and 1,265,640.75

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Solution

The third proportional to 899,894.25 and 1,265,640.75 is: 1,780,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,894.25 : 1,265,640.75 = 1,265,640.75 : x
  2. Step 2: Convert to fraction form
    899,894.25/1,265,640.75 = 1,265,640.75/x
  3. Step 3: Cross multiply
    899,894.25x = 1,265,640.75 × 1,265,640.75
  4. Step 4: Simplify right side
    899,894.25x = 1,601,846,508,060.56
  5. Step 5: Solve for x
    x = 1,601,846,508,060.56/899,894.25
  6. Step 6: Final answer
    x = 1,780,038.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.