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Finding the Third Proportional to 981,280 and 2,079,094

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Solution

The third proportional to 981,280 and 2,079,094 is: 4,405,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,280 : 2,079,094 = 2,079,094 : x
  2. Step 2: Convert to fraction form
    981,280/2,079,094 = 2,079,094/x
  3. Step 3: Cross multiply
    981,280x = 2,079,094 × 2,079,094
  4. Step 4: Simplify right side
    981,280x = 4,322,631,860,836
  5. Step 5: Solve for x
    x = 4,322,631,860,836/981,280
  6. Step 6: Final answer
    x = 4,405,095.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.