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Finding the Third Proportional to 976,879 and 2,082,790

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Solution

The third proportional to 976,879 and 2,082,790 is: 4,440,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,879 : 2,082,790 = 2,082,790 : x
  2. Step 2: Convert to fraction form
    976,879/2,082,790 = 2,082,790/x
  3. Step 3: Cross multiply
    976,879x = 2,082,790 × 2,082,790
  4. Step 4: Simplify right side
    976,879x = 4,338,014,184,100
  5. Step 5: Solve for x
    x = 4,338,014,184,100/976,879
  6. Step 6: Final answer
    x = 4,440,687.32

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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.