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Finding the Third Proportional to 1,962,900 and 2,783,592

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Solution

The third proportional to 1,962,900 and 2,783,592 is: 3,947,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962,900 : 2,783,592 = 2,783,592 : x
  2. Step 2: Convert to fraction form
    1,962,900/2,783,592 = 2,783,592/x
  3. Step 3: Cross multiply
    1,962,900x = 2,783,592 × 2,783,592
  4. Step 4: Simplify right side
    1,962,900x = 7,748,384,422,464
  5. Step 5: Solve for x
    x = 7,748,384,422,464/1,962,900
  6. Step 6: Final answer
    x = 3,947,416.79

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.