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Finding the Third Proportional to 1,588,880.81 and 2,040,081.19

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Solution

The third proportional to 1,588,880.81 and 2,040,081.19 is: 2,619,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,880.81 : 2,040,081.19 = 2,040,081.19 : x
  2. Step 2: Convert to fraction form
    1,588,880.81/2,040,081.19 = 2,040,081.19/x
  3. Step 3: Cross multiply
    1,588,880.81x = 2,040,081.19 × 2,040,081.19
  4. Step 4: Simplify right side
    1,588,880.81x = 4,161,931,251,591.41
  5. Step 5: Solve for x
    x = 4,161,931,251,591.41/1,588,880.81
  6. Step 6: Final answer
    x = 2,619,410.61

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.