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Finding the Third Proportional to 567,586 and 1,223,756

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Solution

The third proportional to 567,586 and 1,223,756 is: 2,638,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,586 : 1,223,756 = 1,223,756 : x
  2. Step 2: Convert to fraction form
    567,586/1,223,756 = 1,223,756/x
  3. Step 3: Cross multiply
    567,586x = 1,223,756 × 1,223,756
  4. Step 4: Simplify right side
    567,586x = 1,497,578,747,536
  5. Step 5: Solve for x
    x = 1,497,578,747,536/567,586
  6. Step 6: Final answer
    x = 2,638,505.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.