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Finding the Third Proportional to 776,183 and 1,670,400

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Solution

The third proportional to 776,183 and 1,670,400 is: 3,594,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,183 : 1,670,400 = 1,670,400 : x
  2. Step 2: Convert to fraction form
    776,183/1,670,400 = 1,670,400/x
  3. Step 3: Cross multiply
    776,183x = 1,670,400 × 1,670,400
  4. Step 4: Simplify right side
    776,183x = 2,790,236,160,000
  5. Step 5: Solve for x
    x = 2,790,236,160,000/776,183
  6. Step 6: Final answer
    x = 3,594,817.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.