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Finding the Third Proportional to 424,728 and 928,224

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Solution

The third proportional to 424,728 and 928,224 is: 2,028,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,728 : 928,224 = 928,224 : x
  2. Step 2: Convert to fraction form
    424,728/928,224 = 928,224/x
  3. Step 3: Cross multiply
    424,728x = 928,224 × 928,224
  4. Step 4: Simplify right side
    424,728x = 861,599,794,176
  5. Step 5: Solve for x
    x = 861,599,794,176/424,728
  6. Step 6: Final answer
    x = 2,028,591.93

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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.