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Finding the Third Proportional to 523,620 and 1,086,096

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Solution

The third proportional to 523,620 and 1,086,096 is: 2,252,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,620 : 1,086,096 = 1,086,096 : x
  2. Step 2: Convert to fraction form
    523,620/1,086,096 = 1,086,096/x
  3. Step 3: Cross multiply
    523,620x = 1,086,096 × 1,086,096
  4. Step 4: Simplify right side
    523,620x = 1,179,604,521,216
  5. Step 5: Solve for x
    x = 1,179,604,521,216/523,620
  6. Step 6: Final answer
    x = 2,252,787.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.