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Finding the Third Proportional to 814,969 and 1,770,176

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Solution

The third proportional to 814,969 and 1,770,176 is: 3,844,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,969 : 1,770,176 = 1,770,176 : x
  2. Step 2: Convert to fraction form
    814,969/1,770,176 = 1,770,176/x
  3. Step 3: Cross multiply
    814,969x = 1,770,176 × 1,770,176
  4. Step 4: Simplify right side
    814,969x = 3,133,523,070,976
  5. Step 5: Solve for x
    x = 3,133,523,070,976/814,969
  6. Step 6: Final answer
    x = 3,844,959.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.