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Finding the Third Proportional to 458,920 and 994,098

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Solution

The third proportional to 458,920 and 994,098 is: 2,153,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,920 : 994,098 = 994,098 : x
  2. Step 2: Convert to fraction form
    458,920/994,098 = 994,098/x
  3. Step 3: Cross multiply
    458,920x = 994,098 × 994,098
  4. Step 4: Simplify right side
    458,920x = 988,230,833,604
  5. Step 5: Solve for x
    x = 988,230,833,604/458,920
  6. Step 6: Final answer
    x = 2,153,383.67

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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.