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Finding the Third Proportional to 976,876 and 2,082,784

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Solution

The third proportional to 976,876 and 2,082,784 is: 4,440,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,876 : 2,082,784 = 2,082,784 : x
  2. Step 2: Convert to fraction form
    976,876/2,082,784 = 2,082,784/x
  3. Step 3: Cross multiply
    976,876x = 2,082,784 × 2,082,784
  4. Step 4: Simplify right side
    976,876x = 4,337,989,190,656
  5. Step 5: Solve for x
    x = 4,337,989,190,656/976,876
  6. Step 6: Final answer
    x = 4,440,675.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.