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Finding the Third Proportional to 458,941 and 994,138

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Solution

The third proportional to 458,941 and 994,138 is: 2,153,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,941 : 994,138 = 994,138 : x
  2. Step 2: Convert to fraction form
    458,941/994,138 = 994,138/x
  3. Step 3: Cross multiply
    458,941x = 994,138 × 994,138
  4. Step 4: Simplify right side
    458,941x = 988,310,363,044
  5. Step 5: Solve for x
    x = 988,310,363,044/458,941
  6. Step 6: Final answer
    x = 2,153,458.43

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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.