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Finding the Third Proportional to 437,978 and 945,868

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Solution

The third proportional to 437,978 and 945,868 is: 2,042,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,978 : 945,868 = 945,868 : x
  2. Step 2: Convert to fraction form
    437,978/945,868 = 945,868/x
  3. Step 3: Cross multiply
    437,978x = 945,868 × 945,868
  4. Step 4: Simplify right side
    437,978x = 894,666,273,424
  5. Step 5: Solve for x
    x = 894,666,273,424/437,978
  6. Step 6: Final answer
    x = 2,042,719.66

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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.