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Finding the Third Proportional to 1,048,185 and 1,582,245

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Solution

The third proportional to 1,048,185 and 1,582,245 is: 2,388,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,185 : 1,582,245 = 1,582,245 : x
  2. Step 2: Convert to fraction form
    1,048,185/1,582,245 = 1,582,245/x
  3. Step 3: Cross multiply
    1,048,185x = 1,582,245 × 1,582,245
  4. Step 4: Simplify right side
    1,048,185x = 2,503,499,240,025
  5. Step 5: Solve for x
    x = 2,503,499,240,025/1,048,185
  6. Step 6: Final answer
    x = 2,388,413.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.