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Finding the Third Proportional to 563,898 and 1,269,745

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Solution

The third proportional to 563,898 and 1,269,745 is: 2,859,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,898 : 1,269,745 = 1,269,745 : x
  2. Step 2: Convert to fraction form
    563,898/1,269,745 = 1,269,745/x
  3. Step 3: Cross multiply
    563,898x = 1,269,745 × 1,269,745
  4. Step 4: Simplify right side
    563,898x = 1,612,252,365,025
  5. Step 5: Solve for x
    x = 1,612,252,365,025/563,898
  6. Step 6: Final answer
    x = 2,859,120.56

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.