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Finding the Third Proportional to 565,848 and 1,231,218

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Solution

The third proportional to 565,848 and 1,231,218 is: 2,678,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,848 : 1,231,218 = 1,231,218 : x
  2. Step 2: Convert to fraction form
    565,848/1,231,218 = 1,231,218/x
  3. Step 3: Cross multiply
    565,848x = 1,231,218 × 1,231,218
  4. Step 4: Simplify right side
    565,848x = 1,515,897,763,524
  5. Step 5: Solve for x
    x = 1,515,897,763,524/565,848
  6. Step 6: Final answer
    x = 2,678,984.04

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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.