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Finding the Third Proportional to 563,916 and 1,215,849

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Solution

The third proportional to 563,916 and 1,215,849 is: 2,621,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,916 : 1,215,849 = 1,215,849 : x
  2. Step 2: Convert to fraction form
    563,916/1,215,849 = 1,215,849/x
  3. Step 3: Cross multiply
    563,916x = 1,215,849 × 1,215,849
  4. Step 4: Simplify right side
    563,916x = 1,478,288,790,801
  5. Step 5: Solve for x
    x = 1,478,288,790,801/563,916
  6. Step 6: Final answer
    x = 2,621,469.85

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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.