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Finding the Third Proportional to 853,973 and 1,848,202

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Solution

The third proportional to 853,973 and 1,848,202 is: 3,999,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,973 : 1,848,202 = 1,848,202 : x
  2. Step 2: Convert to fraction form
    853,973/1,848,202 = 1,848,202/x
  3. Step 3: Cross multiply
    853,973x = 1,848,202 × 1,848,202
  4. Step 4: Simplify right side
    853,973x = 3,415,850,632,804
  5. Step 5: Solve for x
    x = 3,415,850,632,804/853,973
  6. Step 6: Final answer
    x = 3,999,951.56

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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.