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Finding the Third Proportional to 1,091,025 and 2,380,297.50

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Solution

The third proportional to 1,091,025 and 2,380,297.50 is: 5,193,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,025 : 2,380,297.50 = 2,380,297.50 : x
  2. Step 2: Convert to fraction form
    1,091,025/2,380,297.50 = 2,380,297.50/x
  3. Step 3: Cross multiply
    1,091,025x = 2,380,297.50 × 2,380,297.50
  4. Step 4: Simplify right side
    1,091,025x = 5,665,816,188,506.25
  5. Step 5: Solve for x
    x = 5,665,816,188,506.25/1,091,025
  6. Step 6: Final answer
    x = 5,193,113.07

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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.