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Finding the Third Proportional to 772,380.38 and 1,682,069.25

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Solution

The third proportional to 772,380.38 and 1,682,069.25 is: 3,663,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,380.38 : 1,682,069.25 = 1,682,069.25 : x
  2. Step 2: Convert to fraction form
    772,380.38/1,682,069.25 = 1,682,069.25/x
  3. Step 3: Cross multiply
    772,380.38x = 1,682,069.25 × 1,682,069.25
  4. Step 4: Simplify right side
    772,380.38x = 2,829,356,961,795.56
  5. Step 5: Solve for x
    x = 2,829,356,961,795.56/772,380.38
  6. Step 6: Final answer
    x = 3,663,165.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.