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Finding the Third Proportional to 1,881,450.75 and 2,826,415.13

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Solution

The third proportional to 1,881,450.75 and 2,826,415.13 is: 4,245,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881,450.75 : 2,826,415.13 = 2,826,415.13 : x
  2. Step 2: Convert to fraction form
    1,881,450.75/2,826,415.13 = 2,826,415.13/x
  3. Step 3: Cross multiply
    1,881,450.75x = 2,826,415.13 × 2,826,415.13
  4. Step 4: Simplify right side
    1,881,450.75x = 7,988,622,458,828.77
  5. Step 5: Solve for x
    x = 7,988,622,458,828.77/1,881,450.75
  6. Step 6: Final answer
    x = 4,245,990.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.