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Finding the Third Proportional to 960,022 and 2,100,836

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Solution

The third proportional to 960,022 and 2,100,836 is: 4,597,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,022 : 2,100,836 = 2,100,836 : x
  2. Step 2: Convert to fraction form
    960,022/2,100,836 = 2,100,836/x
  3. Step 3: Cross multiply
    960,022x = 2,100,836 × 2,100,836
  4. Step 4: Simplify right side
    960,022x = 4,413,511,898,896
  5. Step 5: Solve for x
    x = 4,413,511,898,896/960,022
  6. Step 6: Final answer
    x = 4,597,302.87

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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.