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Finding the Third Proportional to 1,380,199.50 and 3,016,275

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Solution

The third proportional to 1,380,199.50 and 3,016,275 is: 6,591,739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,199.50 : 3,016,275 = 3,016,275 : x
  2. Step 2: Convert to fraction form
    1,380,199.50/3,016,275 = 3,016,275/x
  3. Step 3: Cross multiply
    1,380,199.50x = 3,016,275 × 3,016,275
  4. Step 4: Simplify right side
    1,380,199.50x = 9,097,914,875,625
  5. Step 5: Solve for x
    x = 9,097,914,875,625/1,380,199.50
  6. Step 6: Final answer
    x = 6,591,739.00

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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.