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Finding the Third Proportional to 1,728,424 and 2,705,212

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Solution

The third proportional to 1,728,424 and 2,705,212 is: 4,234,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,424 : 2,705,212 = 2,705,212 : x
  2. Step 2: Convert to fraction form
    1,728,424/2,705,212 = 2,705,212/x
  3. Step 3: Cross multiply
    1,728,424x = 2,705,212 × 2,705,212
  4. Step 4: Simplify right side
    1,728,424x = 7,318,171,964,944
  5. Step 5: Solve for x
    x = 7,318,171,964,944/1,728,424
  6. Step 6: Final answer
    x = 4,234,014.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.