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Finding the Third Proportional to 775,720 and 1,198,158

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Solution

The third proportional to 775,720 and 1,198,158 is: 1,850,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,720 : 1,198,158 = 1,198,158 : x
  2. Step 2: Convert to fraction form
    775,720/1,198,158 = 1,198,158/x
  3. Step 3: Cross multiply
    775,720x = 1,198,158 × 1,198,158
  4. Step 4: Simplify right side
    775,720x = 1,435,582,592,964
  5. Step 5: Solve for x
    x = 1,435,582,592,964/775,720
  6. Step 6: Final answer
    x = 1,850,645.33

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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.