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Finding the Third Proportional to 853,218 and 1,843,272

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Solution

The third proportional to 853,218 and 1,843,272 is: 3,982,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,218 : 1,843,272 = 1,843,272 : x
  2. Step 2: Convert to fraction form
    853,218/1,843,272 = 1,843,272/x
  3. Step 3: Cross multiply
    853,218x = 1,843,272 × 1,843,272
  4. Step 4: Simplify right side
    853,218x = 3,397,651,665,984
  5. Step 5: Solve for x
    x = 3,397,651,665,984/853,218
  6. Step 6: Final answer
    x = 3,982,161.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.