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Finding the Third Proportional to 1,568,277.94 and 2,397,492.38

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Solution

The third proportional to 1,568,277.94 and 2,397,492.38 is: 3,665,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568,277.94 : 2,397,492.38 = 2,397,492.38 : x
  2. Step 2: Convert to fraction form
    1,568,277.94/2,397,492.38 = 2,397,492.38/x
  3. Step 3: Cross multiply
    1,568,277.94x = 2,397,492.38 × 2,397,492.38
  4. Step 4: Simplify right side
    1,568,277.94x = 5,747,969,688,183.14
  5. Step 5: Solve for x
    x = 5,747,969,688,183.14/1,568,277.94
  6. Step 6: Final answer
    x = 3,665,147.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.