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Finding the Third Proportional to 855,171 and 1,842,903

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Solution

The third proportional to 855,171 and 1,842,903 is: 3,971,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,171 : 1,842,903 = 1,842,903 : x
  2. Step 2: Convert to fraction form
    855,171/1,842,903 = 1,842,903/x
  3. Step 3: Cross multiply
    855,171x = 1,842,903 × 1,842,903
  4. Step 4: Simplify right side
    855,171x = 3,396,291,467,409
  5. Step 5: Solve for x
    x = 3,396,291,467,409/855,171
  6. Step 6: Final answer
    x = 3,971,476.43

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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.