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Finding the Third Proportional to 1,245,506 and 2,682,035

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Solution

The third proportional to 1,245,506 and 2,682,035 is: 5,775,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,506 : 2,682,035 = 2,682,035 : x
  2. Step 2: Convert to fraction form
    1,245,506/2,682,035 = 2,682,035/x
  3. Step 3: Cross multiply
    1,245,506x = 2,682,035 × 2,682,035
  4. Step 4: Simplify right side
    1,245,506x = 7,193,311,741,225
  5. Step 5: Solve for x
    x = 7,193,311,741,225/1,245,506
  6. Step 6: Final answer
    x = 5,775,413.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.