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Finding the Third Proportional to 647,538 and 1,373,978

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Solution

The third proportional to 647,538 and 1,373,978 is: 2,915,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,538 : 1,373,978 = 1,373,978 : x
  2. Step 2: Convert to fraction form
    647,538/1,373,978 = 1,373,978/x
  3. Step 3: Cross multiply
    647,538x = 1,373,978 × 1,373,978
  4. Step 4: Simplify right side
    647,538x = 1,887,815,544,484
  5. Step 5: Solve for x
    x = 1,887,815,544,484/647,538
  6. Step 6: Final answer
    x = 2,915,374.15

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.