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Finding the Third Proportional to 1,477,857.66 and 3,198,609

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Solution

The third proportional to 1,477,857.66 and 3,198,609 is: 6,922,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,857.66 : 3,198,609 = 3,198,609 : x
  2. Step 2: Convert to fraction form
    1,477,857.66/3,198,609 = 3,198,609/x
  3. Step 3: Cross multiply
    1,477,857.66x = 3,198,609 × 3,198,609
  4. Step 4: Simplify right side
    1,477,857.66x = 10,231,099,534,881
  5. Step 5: Solve for x
    x = 10,231,099,534,881/1,477,857.66
  6. Step 6: Final answer
    x = 6,922,926.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.