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Finding the Third Proportional to 471,030 and 981,906

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Solution

The third proportional to 471,030 and 981,906 is: 2,046,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,030 : 981,906 = 981,906 : x
  2. Step 2: Convert to fraction form
    471,030/981,906 = 981,906/x
  3. Step 3: Cross multiply
    471,030x = 981,906 × 981,906
  4. Step 4: Simplify right side
    471,030x = 964,139,392,836
  5. Step 5: Solve for x
    x = 964,139,392,836/471,030
  6. Step 6: Final answer
    x = 2,046,874.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.