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Finding the Third Proportional to 1,164,619 and 2,469,206

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Solution

The third proportional to 1,164,619 and 2,469,206 is: 5,235,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,619 : 2,469,206 = 2,469,206 : x
  2. Step 2: Convert to fraction form
    1,164,619/2,469,206 = 2,469,206/x
  3. Step 3: Cross multiply
    1,164,619x = 2,469,206 × 2,469,206
  4. Step 4: Simplify right side
    1,164,619x = 6,096,978,270,436
  5. Step 5: Solve for x
    x = 6,096,978,270,436/1,164,619
  6. Step 6: Final answer
    x = 5,235,169.85

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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.