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Finding the Third Proportional to 2,821,200 and 6,658,692

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Solution

The third proportional to 2,821,200 and 6,658,692 is: 15,716,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821,200 : 6,658,692 = 6,658,692 : x
  2. Step 2: Convert to fraction form
    2,821,200/6,658,692 = 6,658,692/x
  3. Step 3: Cross multiply
    2,821,200x = 6,658,692 × 6,658,692
  4. Step 4: Simplify right side
    2,821,200x = 44,338,179,150,864
  5. Step 5: Solve for x
    x = 44,338,179,150,864/2,821,200
  6. Step 6: Final answer
    x = 15,716,070.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.