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Finding the Third Proportional to 531,728 and 1,166,814

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Solution

The third proportional to 531,728 and 1,166,814 is: 2,560,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,728 : 1,166,814 = 1,166,814 : x
  2. Step 2: Convert to fraction form
    531,728/1,166,814 = 1,166,814/x
  3. Step 3: Cross multiply
    531,728x = 1,166,814 × 1,166,814
  4. Step 4: Simplify right side
    531,728x = 1,361,454,910,596
  5. Step 5: Solve for x
    x = 1,361,454,910,596/531,728
  6. Step 6: Final answer
    x = 2,560,434.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.