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Finding the Third Proportional to 2,725,832 and 5,946,783

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Solution

The third proportional to 2,725,832 and 5,946,783 is: 12,973,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,832 : 5,946,783 = 5,946,783 : x
  2. Step 2: Convert to fraction form
    2,725,832/5,946,783 = 5,946,783/x
  3. Step 3: Cross multiply
    2,725,832x = 5,946,783 × 5,946,783
  4. Step 4: Simplify right side
    2,725,832x = 35,364,228,049,089
  5. Step 5: Solve for x
    x = 35,364,228,049,089/2,725,832
  6. Step 6: Final answer
    x = 12,973,737.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.