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Finding the Third Proportional to 853,183 and 1,811,343

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Solution

The third proportional to 853,183 and 1,811,343 is: 3,845,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,183 : 1,811,343 = 1,811,343 : x
  2. Step 2: Convert to fraction form
    853,183/1,811,343 = 1,811,343/x
  3. Step 3: Cross multiply
    853,183x = 1,811,343 × 1,811,343
  4. Step 4: Simplify right side
    853,183x = 3,280,963,463,649
  5. Step 5: Solve for x
    x = 3,280,963,463,649/853,183
  6. Step 6: Final answer
    x = 3,845,556.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.