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Finding the Third Proportional to 458,957 and 994,162

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Solution

The third proportional to 458,957 and 994,162 is: 2,153,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,957 : 994,162 = 994,162 : x
  2. Step 2: Convert to fraction form
    458,957/994,162 = 994,162/x
  3. Step 3: Cross multiply
    458,957x = 994,162 × 994,162
  4. Step 4: Simplify right side
    458,957x = 988,358,082,244
  5. Step 5: Solve for x
    x = 988,358,082,244/458,957
  6. Step 6: Final answer
    x = 2,153,487.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.