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Finding the Third Proportional to 757,440 and 1,629,324

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Solution

The third proportional to 757,440 and 1,629,324 is: 3,504,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,440 : 1,629,324 = 1,629,324 : x
  2. Step 2: Convert to fraction form
    757,440/1,629,324 = 1,629,324/x
  3. Step 3: Cross multiply
    757,440x = 1,629,324 × 1,629,324
  4. Step 4: Simplify right side
    757,440x = 2,654,696,696,976
  5. Step 5: Solve for x
    x = 2,654,696,696,976/757,440
  6. Step 6: Final answer
    x = 3,504,827.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.