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Finding the Third Proportional to 1,036,539 and 1,599,093

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Solution

The third proportional to 1,036,539 and 1,599,093 is: 2,466,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,539 : 1,599,093 = 1,599,093 : x
  2. Step 2: Convert to fraction form
    1,036,539/1,599,093 = 1,599,093/x
  3. Step 3: Cross multiply
    1,036,539x = 1,599,093 × 1,599,093
  4. Step 4: Simplify right side
    1,036,539x = 2,557,098,422,649
  5. Step 5: Solve for x
    x = 2,557,098,422,649/1,036,539
  6. Step 6: Final answer
    x = 2,466,958.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.