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Finding the Third Proportional to 2,576,529 and 5,597,019

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Solution

The third proportional to 2,576,529 and 5,597,019 is: 12,158,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,529 : 5,597,019 = 5,597,019 : x
  2. Step 2: Convert to fraction form
    2,576,529/5,597,019 = 5,597,019/x
  3. Step 3: Cross multiply
    2,576,529x = 5,597,019 × 5,597,019
  4. Step 4: Simplify right side
    2,576,529x = 31,326,621,686,361
  5. Step 5: Solve for x
    x = 31,326,621,686,361/2,576,529
  6. Step 6: Final answer
    x = 12,158,458.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.