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Finding the Third Proportional to 1,374,016 and 2,936,718.75

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Solution

The third proportional to 1,374,016 and 2,936,718.75 is: 6,276,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,016 : 2,936,718.75 = 2,936,718.75 : x
  2. Step 2: Convert to fraction form
    1,374,016/2,936,718.75 = 2,936,718.75/x
  3. Step 3: Cross multiply
    1,374,016x = 2,936,718.75 × 2,936,718.75
  4. Step 4: Simplify right side
    1,374,016x = 8,624,317,016,601.56
  5. Step 5: Solve for x
    x = 8,624,317,016,601.56/1,374,016
  6. Step 6: Final answer
    x = 6,276,722.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.