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Finding the Third Proportional to 458,136 and 997,589

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Solution

The third proportional to 458,136 and 997,589 is: 2,172,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,136 : 997,589 = 997,589 : x
  2. Step 2: Convert to fraction form
    458,136/997,589 = 997,589/x
  3. Step 3: Cross multiply
    458,136x = 997,589 × 997,589
  4. Step 4: Simplify right side
    458,136x = 995,183,812,921
  5. Step 5: Solve for x
    x = 995,183,812,921/458,136
  6. Step 6: Final answer
    x = 2,172,245.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.