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Finding the Third Proportional to 980,451 and 2,123,766

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Solution

The third proportional to 980,451 and 2,123,766 is: 4,600,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,451 : 2,123,766 = 2,123,766 : x
  2. Step 2: Convert to fraction form
    980,451/2,123,766 = 2,123,766/x
  3. Step 3: Cross multiply
    980,451x = 2,123,766 × 2,123,766
  4. Step 4: Simplify right side
    980,451x = 4,510,382,022,756
  5. Step 5: Solve for x
    x = 4,510,382,022,756/980,451
  6. Step 6: Final answer
    x = 4,600,313.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.