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Finding the Third Proportional to 440,296 and 964,976

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Solution

The third proportional to 440,296 and 964,976 is: 2,114,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,296 : 964,976 = 964,976 : x
  2. Step 2: Convert to fraction form
    440,296/964,976 = 964,976/x
  3. Step 3: Cross multiply
    440,296x = 964,976 × 964,976
  4. Step 4: Simplify right side
    440,296x = 931,178,680,576
  5. Step 5: Solve for x
    x = 931,178,680,576/440,296
  6. Step 6: Final answer
    x = 2,114,892.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.