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Finding the Third Proportional to 1,648,764 and 3,474,648

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Solution

The third proportional to 1,648,764 and 3,474,648 is: 7,322,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,764 : 3,474,648 = 3,474,648 : x
  2. Step 2: Convert to fraction form
    1,648,764/3,474,648 = 3,474,648/x
  3. Step 3: Cross multiply
    1,648,764x = 3,474,648 × 3,474,648
  4. Step 4: Simplify right side
    1,648,764x = 12,073,178,723,904
  5. Step 5: Solve for x
    x = 12,073,178,723,904/1,648,764
  6. Step 6: Final answer
    x = 7,322,563.28

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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.