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Finding the Third Proportional to 384,647 and 998,522

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Solution

The third proportional to 384,647 and 998,522 is: 2,592,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,647 : 998,522 = 998,522 : x
  2. Step 2: Convert to fraction form
    384,647/998,522 = 998,522/x
  3. Step 3: Cross multiply
    384,647x = 998,522 × 998,522
  4. Step 4: Simplify right side
    384,647x = 997,046,184,484
  5. Step 5: Solve for x
    x = 997,046,184,484/384,647
  6. Step 6: Final answer
    x = 2,592,107.01

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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.