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Finding the Third Proportional to 1,648,768 and 3,474,660

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Solution

The third proportional to 1,648,768 and 3,474,660 is: 7,322,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,768 : 3,474,660 = 3,474,660 : x
  2. Step 2: Convert to fraction form
    1,648,768/3,474,660 = 3,474,660/x
  3. Step 3: Cross multiply
    1,648,768x = 3,474,660 × 3,474,660
  4. Step 4: Simplify right side
    1,648,768x = 12,073,262,115,600
  5. Step 5: Solve for x
    x = 12,073,262,115,600/1,648,768
  6. Step 6: Final answer
    x = 7,322,596.09

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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.