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Finding the Third Proportional to 1,649,682 and 3,450,223

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Solution

The third proportional to 1,649,682 and 3,450,223 is: 7,215,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,682 : 3,450,223 = 3,450,223 : x
  2. Step 2: Convert to fraction form
    1,649,682/3,450,223 = 3,450,223/x
  3. Step 3: Cross multiply
    1,649,682x = 3,450,223 × 3,450,223
  4. Step 4: Simplify right side
    1,649,682x = 11,904,038,749,729
  5. Step 5: Solve for x
    x = 11,904,038,749,729/1,649,682
  6. Step 6: Final answer
    x = 7,215,959.65

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.