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Finding the Third Proportional to 420,934 and 923,360

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Solution

The third proportional to 420,934 and 923,360 is: 2,025,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,934 : 923,360 = 923,360 : x
  2. Step 2: Convert to fraction form
    420,934/923,360 = 923,360/x
  3. Step 3: Cross multiply
    420,934x = 923,360 × 923,360
  4. Step 4: Simplify right side
    420,934x = 852,593,689,600
  5. Step 5: Solve for x
    x = 852,593,689,600/420,934
  6. Step 6: Final answer
    x = 2,025,480.69

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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.