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Finding the Third Proportional to 809,185 and 1,208,238

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Solution

The third proportional to 809,185 and 1,208,238 is: 1,804,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,185 : 1,208,238 = 1,208,238 : x
  2. Step 2: Convert to fraction form
    809,185/1,208,238 = 1,208,238/x
  3. Step 3: Cross multiply
    809,185x = 1,208,238 × 1,208,238
  4. Step 4: Simplify right side
    809,185x = 1,459,839,064,644
  5. Step 5: Solve for x
    x = 1,459,839,064,644/809,185
  6. Step 6: Final answer
    x = 1,804,085.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.