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Finding the Third Proportional to 523,098 and 1,108,965

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Solution

The third proportional to 523,098 and 1,108,965 is: 2,350,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,098 : 1,108,965 = 1,108,965 : x
  2. Step 2: Convert to fraction form
    523,098/1,108,965 = 1,108,965/x
  3. Step 3: Cross multiply
    523,098x = 1,108,965 × 1,108,965
  4. Step 4: Simplify right side
    523,098x = 1,229,803,371,225
  5. Step 5: Solve for x
    x = 1,229,803,371,225/523,098
  6. Step 6: Final answer
    x = 2,350,999.95

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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.