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Finding the Third Proportional to 1,648,761 and 3,474,642

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Solution

The third proportional to 1,648,761 and 3,474,642 is: 7,322,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,761 : 3,474,642 = 3,474,642 : x
  2. Step 2: Convert to fraction form
    1,648,761/3,474,642 = 3,474,642/x
  3. Step 3: Cross multiply
    1,648,761x = 3,474,642 × 3,474,642
  4. Step 4: Simplify right side
    1,648,761x = 12,073,137,028,164
  5. Step 5: Solve for x
    x = 12,073,137,028,164/1,648,761
  6. Step 6: Final answer
    x = 7,322,551.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.