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Finding the Third Proportional to 853,965 and 1,848,186

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Solution

The third proportional to 853,965 and 1,848,186 is: 3,999,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,965 : 1,848,186 = 1,848,186 : x
  2. Step 2: Convert to fraction form
    853,965/1,848,186 = 1,848,186/x
  3. Step 3: Cross multiply
    853,965x = 1,848,186 × 1,848,186
  4. Step 4: Simplify right side
    853,965x = 3,415,791,490,596
  5. Step 5: Solve for x
    x = 3,415,791,490,596/853,965
  6. Step 6: Final answer
    x = 3,999,919.77

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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.