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Finding the Third Proportional to 565,578 and 1,212,117

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Solution

The third proportional to 565,578 and 1,212,117 is: 2,597,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,578 : 1,212,117 = 1,212,117 : x
  2. Step 2: Convert to fraction form
    565,578/1,212,117 = 1,212,117/x
  3. Step 3: Cross multiply
    565,578x = 1,212,117 × 1,212,117
  4. Step 4: Simplify right side
    565,578x = 1,469,227,621,689
  5. Step 5: Solve for x
    x = 1,469,227,621,689/565,578
  6. Step 6: Final answer
    x = 2,597,745.35

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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.