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Finding the Third Proportional to 1,677,656 and 3,650,224

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Solution

The third proportional to 1,677,656 and 3,650,224 is: 7,942,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,656 : 3,650,224 = 3,650,224 : x
  2. Step 2: Convert to fraction form
    1,677,656/3,650,224 = 3,650,224/x
  3. Step 3: Cross multiply
    1,677,656x = 3,650,224 × 3,650,224
  4. Step 4: Simplify right side
    1,677,656x = 13,324,135,250,176
  5. Step 5: Solve for x
    x = 13,324,135,250,176/1,677,656
  6. Step 6: Final answer
    x = 7,942,114.03

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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.