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Finding the Third Proportional to 1,682,797.78 and 2,523,570.19

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Solution

The third proportional to 1,682,797.78 and 2,523,570.19 is: 3,784,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,797.78 : 2,523,570.19 = 2,523,570.19 : x
  2. Step 2: Convert to fraction form
    1,682,797.78/2,523,570.19 = 2,523,570.19/x
  3. Step 3: Cross multiply
    1,682,797.78x = 2,523,570.19 × 2,523,570.19
  4. Step 4: Simplify right side
    1,682,797.78x = 6,368,406,491,238.79
  5. Step 5: Solve for x
    x = 6,368,406,491,238.79/1,682,797.78
  6. Step 6: Final answer
    x = 3,784,415.79

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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.