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Finding the Third Proportional to 773,296 and 1,697,888

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Solution

The third proportional to 773,296 and 1,697,888 is: 3,727,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,296 : 1,697,888 = 1,697,888 : x
  2. Step 2: Convert to fraction form
    773,296/1,697,888 = 1,697,888/x
  3. Step 3: Cross multiply
    773,296x = 1,697,888 × 1,697,888
  4. Step 4: Simplify right side
    773,296x = 2,882,823,660,544
  5. Step 5: Solve for x
    x = 2,882,823,660,544/773,296
  6. Step 6: Final answer
    x = 3,727,969.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.