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Finding the Third Proportional to 775,977 and 1,696,242

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Solution

The third proportional to 775,977 and 1,696,242 is: 3,707,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,977 : 1,696,242 = 1,696,242 : x
  2. Step 2: Convert to fraction form
    775,977/1,696,242 = 1,696,242/x
  3. Step 3: Cross multiply
    775,977x = 1,696,242 × 1,696,242
  4. Step 4: Simplify right side
    775,977x = 2,877,236,922,564
  5. Step 5: Solve for x
    x = 2,877,236,922,564/775,977
  6. Step 6: Final answer
    x = 3,707,889.44

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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.