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Finding the Third Proportional to 2,082,468 and 3,218,084

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Solution

The third proportional to 2,082,468 and 3,218,084 is: 4,972,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,468 : 3,218,084 = 3,218,084 : x
  2. Step 2: Convert to fraction form
    2,082,468/3,218,084 = 3,218,084/x
  3. Step 3: Cross multiply
    2,082,468x = 3,218,084 × 3,218,084
  4. Step 4: Simplify right side
    2,082,468x = 10,356,064,631,056
  5. Step 5: Solve for x
    x = 10,356,064,631,056/2,082,468
  6. Step 6: Final answer
    x = 4,972,976.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.