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Finding the Third Proportional to 458,926 and 994,108

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Solution

The third proportional to 458,926 and 994,108 is: 2,153,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,926 : 994,108 = 994,108 : x
  2. Step 2: Convert to fraction form
    458,926/994,108 = 994,108/x
  3. Step 3: Cross multiply
    458,926x = 994,108 × 994,108
  4. Step 4: Simplify right side
    458,926x = 988,250,715,664
  5. Step 5: Solve for x
    x = 988,250,715,664/458,926
  6. Step 6: Final answer
    x = 2,153,398.84

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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.