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Finding the Third Proportional to 563,456 and 1,222,452

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Solution

The third proportional to 563,456 and 1,222,452 is: 2,652,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,456 : 1,222,452 = 1,222,452 : x
  2. Step 2: Convert to fraction form
    563,456/1,222,452 = 1,222,452/x
  3. Step 3: Cross multiply
    563,456x = 1,222,452 × 1,222,452
  4. Step 4: Simplify right side
    563,456x = 1,494,388,892,304
  5. Step 5: Solve for x
    x = 1,494,388,892,304/563,456
  6. Step 6: Final answer
    x = 2,652,183.83

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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.