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Finding the Third Proportional to 443,096 and 960,976

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Solution

The third proportional to 443,096 and 960,976 is: 2,084,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,096 : 960,976 = 960,976 : x
  2. Step 2: Convert to fraction form
    443,096/960,976 = 960,976/x
  3. Step 3: Cross multiply
    443,096x = 960,976 × 960,976
  4. Step 4: Simplify right side
    443,096x = 923,474,872,576
  5. Step 5: Solve for x
    x = 923,474,872,576/443,096
  6. Step 6: Final answer
    x = 2,084,141.75

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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.