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Finding the Third Proportional to 969,969 and 2,105,826

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Solution

The third proportional to 969,969 and 2,105,826 is: 4,571,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,969 : 2,105,826 = 2,105,826 : x
  2. Step 2: Convert to fraction form
    969,969/2,105,826 = 2,105,826/x
  3. Step 3: Cross multiply
    969,969x = 2,105,826 × 2,105,826
  4. Step 4: Simplify right side
    969,969x = 4,434,503,142,276
  5. Step 5: Solve for x
    x = 4,434,503,142,276/969,969
  6. Step 6: Final answer
    x = 4,571,798.83

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