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Finding the Third Proportional to 503,694 and 1,096,002

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Solution

The third proportional to 503,694 and 1,096,002 is: 2,384,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,694 : 1,096,002 = 1,096,002 : x
  2. Step 2: Convert to fraction form
    503,694/1,096,002 = 1,096,002/x
  3. Step 3: Cross multiply
    503,694x = 1,096,002 × 1,096,002
  4. Step 4: Simplify right side
    503,694x = 1,201,220,384,004
  5. Step 5: Solve for x
    x = 1,201,220,384,004/503,694
  6. Step 6: Final answer
    x = 2,384,821.71

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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.