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Finding the Third Proportional to 449,168 and 969,576

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Solution

The third proportional to 449,168 and 969,576 is: 2,092,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,168 : 969,576 = 969,576 : x
  2. Step 2: Convert to fraction form
    449,168/969,576 = 969,576/x
  3. Step 3: Cross multiply
    449,168x = 969,576 × 969,576
  4. Step 4: Simplify right side
    449,168x = 940,077,619,776
  5. Step 5: Solve for x
    x = 940,077,619,776/449,168
  6. Step 6: Final answer
    x = 2,092,930.97

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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.