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Finding the Third Proportional to 853,975 and 1,848,206

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Solution

The third proportional to 853,975 and 1,848,206 is: 3,999,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,975 : 1,848,206 = 1,848,206 : x
  2. Step 2: Convert to fraction form
    853,975/1,848,206 = 1,848,206/x
  3. Step 3: Cross multiply
    853,975x = 1,848,206 × 1,848,206
  4. Step 4: Simplify right side
    853,975x = 3,415,865,418,436
  5. Step 5: Solve for x
    x = 3,415,865,418,436/853,975
  6. Step 6: Final answer
    x = 3,999,959.51

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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.