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Finding the Third Proportional to 1,096,170.75 and 2,391,537.38

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Solution

The third proportional to 1,096,170.75 and 2,391,537.38 is: 5,217,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,170.75 : 2,391,537.38 = 2,391,537.38 : x
  2. Step 2: Convert to fraction form
    1,096,170.75/2,391,537.38 = 2,391,537.38/x
  3. Step 3: Cross multiply
    1,096,170.75x = 2,391,537.38 × 2,391,537.38
  4. Step 4: Simplify right side
    1,096,170.75x = 5,719,451,016,021.89
  5. Step 5: Solve for x
    x = 5,719,451,016,021.89/1,096,170.75
  6. Step 6: Final answer
    x = 5,217,664.32

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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.