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Finding the Third Proportional to 689,922 and 1,484,766

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Solution

The third proportional to 689,922 and 1,484,766 is: 3,195,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,922 : 1,484,766 = 1,484,766 : x
  2. Step 2: Convert to fraction form
    689,922/1,484,766 = 1,484,766/x
  3. Step 3: Cross multiply
    689,922x = 1,484,766 × 1,484,766
  4. Step 4: Simplify right side
    689,922x = 2,204,530,074,756
  5. Step 5: Solve for x
    x = 2,204,530,074,756/689,922
  6. Step 6: Final answer
    x = 3,195,332.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.