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Finding the Third Proportional to 1,908,834.75 and 4,090,912.88

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Solution

The third proportional to 1,908,834.75 and 4,090,912.88 is: 8,767,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908,834.75 : 4,090,912.88 = 4,090,912.88 : x
  2. Step 2: Convert to fraction form
    1,908,834.75/4,090,912.88 = 4,090,912.88/x
  3. Step 3: Cross multiply
    1,908,834.75x = 4,090,912.88 × 4,090,912.88
  4. Step 4: Simplify right side
    1,908,834.75x = 16,735,568,150,840.77
  5. Step 5: Solve for x
    x = 16,735,568,150,840.77/1,908,834.75
  6. Step 6: Final answer
    x = 8,767,426.38

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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.