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Finding the Third Proportional to 504,530 and 1,103,788

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Solution

The third proportional to 504,530 and 1,103,788 is: 2,414,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,530 : 1,103,788 = 1,103,788 : x
  2. Step 2: Convert to fraction form
    504,530/1,103,788 = 1,103,788/x
  3. Step 3: Cross multiply
    504,530x = 1,103,788 × 1,103,788
  4. Step 4: Simplify right side
    504,530x = 1,218,347,948,944
  5. Step 5: Solve for x
    x = 1,218,347,948,944/504,530
  6. Step 6: Final answer
    x = 2,414,817.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.