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Finding the Third Proportional to 1,738,357.50 and 2,557,278

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Solution

The third proportional to 1,738,357.50 and 2,557,278 is: 3,761,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,357.50 : 2,557,278 = 2,557,278 : x
  2. Step 2: Convert to fraction form
    1,738,357.50/2,557,278 = 2,557,278/x
  3. Step 3: Cross multiply
    1,738,357.50x = 2,557,278 × 2,557,278
  4. Step 4: Simplify right side
    1,738,357.50x = 6,539,670,769,284
  5. Step 5: Solve for x
    x = 6,539,670,769,284/1,738,357.50
  6. Step 6: Final answer
    x = 3,761,982.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.