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Finding the Third Proportional to 1,301,864 and 2,667,152

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Solution

The third proportional to 1,301,864 and 2,667,152 is: 5,464,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,864 : 2,667,152 = 2,667,152 : x
  2. Step 2: Convert to fraction form
    1,301,864/2,667,152 = 2,667,152/x
  3. Step 3: Cross multiply
    1,301,864x = 2,667,152 × 2,667,152
  4. Step 4: Simplify right side
    1,301,864x = 7,113,699,791,104
  5. Step 5: Solve for x
    x = 7,113,699,791,104/1,301,864
  6. Step 6: Final answer
    x = 5,464,241.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.