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Finding the Third Proportional to 458,144 and 997,605

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Solution

The third proportional to 458,144 and 997,605 is: 2,172,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,144 : 997,605 = 997,605 : x
  2. Step 2: Convert to fraction form
    458,144/997,605 = 997,605/x
  3. Step 3: Cross multiply
    458,144x = 997,605 × 997,605
  4. Step 4: Simplify right side
    458,144x = 995,215,736,025
  5. Step 5: Solve for x
    x = 995,215,736,025/458,144
  6. Step 6: Final answer
    x = 2,172,277.14

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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.