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Finding the Third Proportional to 726,880 and 1,697,860

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Solution

The third proportional to 726,880 and 1,697,860 is: 3,965,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,880 : 1,697,860 = 1,697,860 : x
  2. Step 2: Convert to fraction form
    726,880/1,697,860 = 1,697,860/x
  3. Step 3: Cross multiply
    726,880x = 1,697,860 × 1,697,860
  4. Step 4: Simplify right side
    726,880x = 2,882,728,579,600
  5. Step 5: Solve for x
    x = 2,882,728,579,600/726,880
  6. Step 6: Final answer
    x = 3,965,893.38

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.