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Finding the Third Proportional to 1,648,458 and 3,474,036

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Solution

The third proportional to 1,648,458 and 3,474,036 is: 7,321,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,458 : 3,474,036 = 3,474,036 : x
  2. Step 2: Convert to fraction form
    1,648,458/3,474,036 = 3,474,036/x
  3. Step 3: Cross multiply
    1,648,458x = 3,474,036 × 3,474,036
  4. Step 4: Simplify right side
    1,648,458x = 12,068,926,129,296
  5. Step 5: Solve for x
    x = 12,068,926,129,296/1,648,458
  6. Step 6: Final answer
    x = 7,321,342.81

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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.