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Finding the Third Proportional to 666,834.75 and 1,460,151

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Solution

The third proportional to 666,834.75 and 1,460,151 is: 3,197,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,834.75 : 1,460,151 = 1,460,151 : x
  2. Step 2: Convert to fraction form
    666,834.75/1,460,151 = 1,460,151/x
  3. Step 3: Cross multiply
    666,834.75x = 1,460,151 × 1,460,151
  4. Step 4: Simplify right side
    666,834.75x = 2,132,040,942,801
  5. Step 5: Solve for x
    x = 2,132,040,942,801/666,834.75
  6. Step 6: Final answer
    x = 3,197,255.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.