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Finding the Third Proportional to 560,863 and 1,223,227

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Solution

The third proportional to 560,863 and 1,223,227 is: 2,667,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,863 : 1,223,227 = 1,223,227 : x
  2. Step 2: Convert to fraction form
    560,863/1,223,227 = 1,223,227/x
  3. Step 3: Cross multiply
    560,863x = 1,223,227 × 1,223,227
  4. Step 4: Simplify right side
    560,863x = 1,496,284,293,529
  5. Step 5: Solve for x
    x = 1,496,284,293,529/560,863
  6. Step 6: Final answer
    x = 2,667,824.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.