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Finding the Third Proportional to 1,863,415.13 and 4,093,152.75

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Solution

The third proportional to 1,863,415.13 and 4,093,152.75 is: 8,990,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,415.13 : 4,093,152.75 = 4,093,152.75 : x
  2. Step 2: Convert to fraction form
    1,863,415.13/4,093,152.75 = 4,093,152.75/x
  3. Step 3: Cross multiply
    1,863,415.13x = 4,093,152.75 × 4,093,152.75
  4. Step 4: Simplify right side
    1,863,415.13x = 16,753,899,434,832.56
  5. Step 5: Solve for x
    x = 16,753,899,434,832.56/1,863,415.13
  6. Step 6: Final answer
    x = 8,990,964.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.