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Finding the Third Proportional to 595,978 and 1,290,965

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Solution

The third proportional to 595,978 and 1,290,965 is: 2,796,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,978 : 1,290,965 = 1,290,965 : x
  2. Step 2: Convert to fraction form
    595,978/1,290,965 = 1,290,965/x
  3. Step 3: Cross multiply
    595,978x = 1,290,965 × 1,290,965
  4. Step 4: Simplify right side
    595,978x = 1,666,590,631,225
  5. Step 5: Solve for x
    x = 1,666,590,631,225/595,978
  6. Step 6: Final answer
    x = 2,796,396.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.