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Finding the Third Proportional to 2,651,968 and 5,726,512

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Solution

The third proportional to 2,651,968 and 5,726,512 is: 12,365,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651,968 : 5,726,512 = 5,726,512 : x
  2. Step 2: Convert to fraction form
    2,651,968/5,726,512 = 5,726,512/x
  3. Step 3: Cross multiply
    2,651,968x = 5,726,512 × 5,726,512
  4. Step 4: Simplify right side
    2,651,968x = 32,792,939,686,144
  5. Step 5: Solve for x
    x = 32,792,939,686,144/2,651,968
  6. Step 6: Final answer
    x = 12,365,511.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.