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Finding the Third Proportional to 1,741,448.50 and 2,689,810.75

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Solution

The third proportional to 1,741,448.50 and 2,689,810.75 is: 4,154,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,448.50 : 2,689,810.75 = 2,689,810.75 : x
  2. Step 2: Convert to fraction form
    1,741,448.50/2,689,810.75 = 2,689,810.75/x
  3. Step 3: Cross multiply
    1,741,448.50x = 2,689,810.75 × 2,689,810.75
  4. Step 4: Simplify right side
    1,741,448.50x = 7,235,081,870,815.56
  5. Step 5: Solve for x
    x = 7,235,081,870,815.56/1,741,448.50
  6. Step 6: Final answer
    x = 4,154,634.42

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