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Finding the Third Proportional to 2,725,823 and 5,946,761

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Solution

The third proportional to 2,725,823 and 5,946,761 is: 12,973,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,823 : 5,946,761 = 5,946,761 : x
  2. Step 2: Convert to fraction form
    2,725,823/5,946,761 = 5,946,761/x
  3. Step 3: Cross multiply
    2,725,823x = 5,946,761 × 5,946,761
  4. Step 4: Simplify right side
    2,725,823x = 35,363,966,391,121
  5. Step 5: Solve for x
    x = 35,363,966,391,121/2,725,823
  6. Step 6: Final answer
    x = 12,973,684.05

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Why These Related Problems?

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