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Finding the Third Proportional to 775,628 and 1,191,795

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Solution

The third proportional to 775,628 and 1,191,795 is: 1,831,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,628 : 1,191,795 = 1,191,795 : x
  2. Step 2: Convert to fraction form
    775,628/1,191,795 = 1,191,795/x
  3. Step 3: Cross multiply
    775,628x = 1,191,795 × 1,191,795
  4. Step 4: Simplify right side
    775,628x = 1,420,375,322,025
  5. Step 5: Solve for x
    x = 1,420,375,322,025/775,628
  6. Step 6: Final answer
    x = 1,831,258.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.