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Finding the Third Proportional to 384,645 and 998,517

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Solution

The third proportional to 384,645 and 998,517 is: 2,592,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,645 : 998,517 = 998,517 : x
  2. Step 2: Convert to fraction form
    384,645/998,517 = 998,517/x
  3. Step 3: Cross multiply
    384,645x = 998,517 × 998,517
  4. Step 4: Simplify right side
    384,645x = 997,036,199,289
  5. Step 5: Solve for x
    x = 997,036,199,289/384,645
  6. Step 6: Final answer
    x = 2,592,094.53

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.