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Finding the Third Proportional to 424,516 and 923,984

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Solution

The third proportional to 424,516 and 923,984 is: 2,011,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,516 : 923,984 = 923,984 : x
  2. Step 2: Convert to fraction form
    424,516/923,984 = 923,984/x
  3. Step 3: Cross multiply
    424,516x = 923,984 × 923,984
  4. Step 4: Simplify right side
    424,516x = 853,746,432,256
  5. Step 5: Solve for x
    x = 853,746,432,256/424,516
  6. Step 6: Final answer
    x = 2,011,105.43

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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.