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Finding the Third Proportional to 739,975.50 and 1,584,927

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Solution

The third proportional to 739,975.50 and 1,584,927 is: 3,394,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,975.50 : 1,584,927 = 1,584,927 : x
  2. Step 2: Convert to fraction form
    739,975.50/1,584,927 = 1,584,927/x
  3. Step 3: Cross multiply
    739,975.50x = 1,584,927 × 1,584,927
  4. Step 4: Simplify right side
    739,975.50x = 2,511,993,595,329
  5. Step 5: Solve for x
    x = 2,511,993,595,329/739,975.50
  6. Step 6: Final answer
    x = 3,394,698.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.