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Finding the Third Proportional to 424,961 and 928,330

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Solution

The third proportional to 424,961 and 928,330 is: 2,027,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,961 : 928,330 = 928,330 : x
  2. Step 2: Convert to fraction form
    424,961/928,330 = 928,330/x
  3. Step 3: Cross multiply
    424,961x = 928,330 × 928,330
  4. Step 4: Simplify right side
    424,961x = 861,796,588,900
  5. Step 5: Solve for x
    x = 861,796,588,900/424,961
  6. Step 6: Final answer
    x = 2,027,942.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.