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Finding the Third Proportional to 424,063.69 and 914,554.97

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Solution

The third proportional to 424,063.69 and 914,554.97 is: 1,972,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,063.69 : 914,554.97 = 914,554.97 : x
  2. Step 2: Convert to fraction form
    424,063.69/914,554.97 = 914,554.97/x
  3. Step 3: Cross multiply
    424,063.69x = 914,554.97 × 914,554.97
  4. Step 4: Simplify right side
    424,063.69x = 836,410,790,865.31
  5. Step 5: Solve for x
    x = 836,410,790,865.31/424,063.69
  6. Step 6: Final answer
    x = 1,972,370.70

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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.