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Finding the Third Proportional to 2,686,008 and 5,769,576

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Solution

The third proportional to 2,686,008 and 5,769,576 is: 12,393,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686,008 : 5,769,576 = 5,769,576 : x
  2. Step 2: Convert to fraction form
    2,686,008/5,769,576 = 5,769,576/x
  3. Step 3: Cross multiply
    2,686,008x = 5,769,576 × 5,769,576
  4. Step 4: Simplify right side
    2,686,008x = 33,288,007,219,776
  5. Step 5: Solve for x
    x = 33,288,007,219,776/2,686,008
  6. Step 6: Final answer
    x = 12,393,115.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.