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Finding the Third Proportional to 1,810,144 and 2,683,906

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Solution

The third proportional to 1,810,144 and 2,683,906 is: 3,979,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810,144 : 2,683,906 = 2,683,906 : x
  2. Step 2: Convert to fraction form
    1,810,144/2,683,906 = 2,683,906/x
  3. Step 3: Cross multiply
    1,810,144x = 2,683,906 × 2,683,906
  4. Step 4: Simplify right side
    1,810,144x = 7,203,351,416,836
  5. Step 5: Solve for x
    x = 7,203,351,416,836/1,810,144
  6. Step 6: Final answer
    x = 3,979,435.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.