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Finding the Third Proportional to 1,380,197 and 3,016,271

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Solution

The third proportional to 1,380,197 and 3,016,271 is: 6,591,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,197 : 3,016,271 = 3,016,271 : x
  2. Step 2: Convert to fraction form
    1,380,197/3,016,271 = 3,016,271/x
  3. Step 3: Cross multiply
    1,380,197x = 3,016,271 × 3,016,271
  4. Step 4: Simplify right side
    1,380,197x = 9,097,890,745,441
  5. Step 5: Solve for x
    x = 9,097,890,745,441/1,380,197
  6. Step 6: Final answer
    x = 6,591,733.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.