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Finding the Third Proportional to 726,858 and 1,697,805

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Solution

The third proportional to 726,858 and 1,697,805 is: 3,965,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,858 : 1,697,805 = 1,697,805 : x
  2. Step 2: Convert to fraction form
    726,858/1,697,805 = 1,697,805/x
  3. Step 3: Cross multiply
    726,858x = 1,697,805 × 1,697,805
  4. Step 4: Simplify right side
    726,858x = 2,882,541,818,025
  5. Step 5: Solve for x
    x = 2,882,541,818,025/726,858
  6. Step 6: Final answer
    x = 3,965,756.47

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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.