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Finding the Third Proportional to 1,571,978 and 3,201,763

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Solution

The third proportional to 1,571,978 and 3,201,763 is: 6,521,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,978 : 3,201,763 = 3,201,763 : x
  2. Step 2: Convert to fraction form
    1,571,978/3,201,763 = 3,201,763/x
  3. Step 3: Cross multiply
    1,571,978x = 3,201,763 × 3,201,763
  4. Step 4: Simplify right side
    1,571,978x = 10,251,286,308,169
  5. Step 5: Solve for x
    x = 10,251,286,308,169/1,571,978
  6. Step 6: Final answer
    x = 6,521,265.76

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.