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Finding the Third Proportional to 774,208 and 1,196,288

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Solution

The third proportional to 774,208 and 1,196,288 is: 1,848,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,208 : 1,196,288 = 1,196,288 : x
  2. Step 2: Convert to fraction form
    774,208/1,196,288 = 1,196,288/x
  3. Step 3: Cross multiply
    774,208x = 1,196,288 × 1,196,288
  4. Step 4: Simplify right side
    774,208x = 1,431,104,978,944
  5. Step 5: Solve for x
    x = 1,431,104,978,944/774,208
  6. Step 6: Final answer
    x = 1,848,476.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.