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Finding the Third Proportional to 565,223 and 1,228,617

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Solution

The third proportional to 565,223 and 1,228,617 is: 2,670,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,223 : 1,228,617 = 1,228,617 : x
  2. Step 2: Convert to fraction form
    565,223/1,228,617 = 1,228,617/x
  3. Step 3: Cross multiply
    565,223x = 1,228,617 × 1,228,617
  4. Step 4: Simplify right side
    565,223x = 1,509,499,732,689
  5. Step 5: Solve for x
    x = 1,509,499,732,689/565,223
  6. Step 6: Final answer
    x = 2,670,626.87

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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.