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Finding the Third Proportional to 424,914.75 and 917,694

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Solution

The third proportional to 424,914.75 and 917,694 is: 1,981,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,914.75 : 917,694 = 917,694 : x
  2. Step 2: Convert to fraction form
    424,914.75/917,694 = 917,694/x
  3. Step 3: Cross multiply
    424,914.75x = 917,694 × 917,694
  4. Step 4: Simplify right side
    424,914.75x = 842,162,277,636
  5. Step 5: Solve for x
    x = 842,162,277,636/424,914.75
  6. Step 6: Final answer
    x = 1,981,955.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.