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Finding the Third Proportional to 1,477,204 and 3,213,226

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Solution

The third proportional to 1,477,204 and 3,213,226 is: 6,989,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,204 : 3,213,226 = 3,213,226 : x
  2. Step 2: Convert to fraction form
    1,477,204/3,213,226 = 3,213,226/x
  3. Step 3: Cross multiply
    1,477,204x = 3,213,226 × 3,213,226
  4. Step 4: Simplify right side
    1,477,204x = 10,324,821,327,076
  5. Step 5: Solve for x
    x = 10,324,821,327,076/1,477,204
  6. Step 6: Final answer
    x = 6,989,434.99

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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.