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Finding the Third Proportional to 2,555,984.25 and 5,471,019

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Solution

The third proportional to 2,555,984.25 and 5,471,019 is: 11,710,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,984.25 : 5,471,019 = 5,471,019 : x
  2. Step 2: Convert to fraction form
    2,555,984.25/5,471,019 = 5,471,019/x
  3. Step 3: Cross multiply
    2,555,984.25x = 5,471,019 × 5,471,019
  4. Step 4: Simplify right side
    2,555,984.25x = 29,932,048,898,361
  5. Step 5: Solve for x
    x = 29,932,048,898,361/2,555,984.25
  6. Step 6: Final answer
    x = 11,710,576.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.