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Finding the Third Proportional to 2,576,521 and 5,597,002

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Solution

The third proportional to 2,576,521 and 5,597,002 is: 12,158,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,521 : 5,597,002 = 5,597,002 : x
  2. Step 2: Convert to fraction form
    2,576,521/5,597,002 = 5,597,002/x
  3. Step 3: Cross multiply
    2,576,521x = 5,597,002 × 5,597,002
  4. Step 4: Simplify right side
    2,576,521x = 31,326,431,388,004
  5. Step 5: Solve for x
    x = 31,326,431,388,004/2,576,521
  6. Step 6: Final answer
    x = 12,158,422.69

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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.