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Finding the Third Proportional to 523,096 and 1,108,966

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Solution

The third proportional to 523,096 and 1,108,966 is: 2,351,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,096 : 1,108,966 = 1,108,966 : x
  2. Step 2: Convert to fraction form
    523,096/1,108,966 = 1,108,966/x
  3. Step 3: Cross multiply
    523,096x = 1,108,966 × 1,108,966
  4. Step 4: Simplify right side
    523,096x = 1,229,805,589,156
  5. Step 5: Solve for x
    x = 1,229,805,589,156/523,096
  6. Step 6: Final answer
    x = 2,351,013.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.