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Finding the Third Proportional to 565,536 and 1,212,024

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Solution

The third proportional to 565,536 and 1,212,024 is: 2,597,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,536 : 1,212,024 = 1,212,024 : x
  2. Step 2: Convert to fraction form
    565,536/1,212,024 = 1,212,024/x
  3. Step 3: Cross multiply
    565,536x = 1,212,024 × 1,212,024
  4. Step 4: Simplify right side
    565,536x = 1,469,002,176,576
  5. Step 5: Solve for x
    x = 1,469,002,176,576/565,536
  6. Step 6: Final answer
    x = 2,597,539.64

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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.