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Finding the Third Proportional to 458,964 and 981,079

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Solution

The third proportional to 458,964 and 981,079 is: 2,097,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,964 : 981,079 = 981,079 : x
  2. Step 2: Convert to fraction form
    458,964/981,079 = 981,079/x
  3. Step 3: Cross multiply
    458,964x = 981,079 × 981,079
  4. Step 4: Simplify right side
    458,964x = 962,516,004,241
  5. Step 5: Solve for x
    x = 962,516,004,241/458,964
  6. Step 6: Final answer
    x = 2,097,149.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.