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Finding the Third Proportional to 1,477,188 and 3,213,194

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Solution

The third proportional to 1,477,188 and 3,213,194 is: 6,989,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,188 : 3,213,194 = 3,213,194 : x
  2. Step 2: Convert to fraction form
    1,477,188/3,213,194 = 3,213,194/x
  3. Step 3: Cross multiply
    1,477,188x = 3,213,194 × 3,213,194
  4. Step 4: Simplify right side
    1,477,188x = 10,324,615,681,636
  5. Step 5: Solve for x
    x = 10,324,615,681,636/1,477,188
  6. Step 6: Final answer
    x = 6,989,371.48

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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.