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Finding the Third Proportional to 2,302,008 and 3,611,171.25

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Solution

The third proportional to 2,302,008 and 3,611,171.25 is: 5,664,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,008 : 3,611,171.25 = 3,611,171.25 : x
  2. Step 2: Convert to fraction form
    2,302,008/3,611,171.25 = 3,611,171.25/x
  3. Step 3: Cross multiply
    2,302,008x = 3,611,171.25 × 3,611,171.25
  4. Step 4: Simplify right side
    2,302,008x = 13,040,557,796,826.56
  5. Step 5: Solve for x
    x = 13,040,557,796,826.56/2,302,008
  6. Step 6: Final answer
    x = 5,664,862.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.