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Finding the Third Proportional to 505,296 and 1,087,056

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Solution

The third proportional to 505,296 and 1,087,056 is: 2,338,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,296 : 1,087,056 = 1,087,056 : x
  2. Step 2: Convert to fraction form
    505,296/1,087,056 = 1,087,056/x
  3. Step 3: Cross multiply
    505,296x = 1,087,056 × 1,087,056
  4. Step 4: Simplify right side
    505,296x = 1,181,690,747,136
  5. Step 5: Solve for x
    x = 1,181,690,747,136/505,296
  6. Step 6: Final answer
    x = 2,338,610.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.