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Finding the Third Proportional to 1,782,492.75 and 2,682,284.63

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Solution

The third proportional to 1,782,492.75 and 2,682,284.63 is: 4,036,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,492.75 : 2,682,284.63 = 2,682,284.63 : x
  2. Step 2: Convert to fraction form
    1,782,492.75/2,682,284.63 = 2,682,284.63/x
  3. Step 3: Cross multiply
    1,782,492.75x = 2,682,284.63 × 2,682,284.63
  4. Step 4: Simplify right side
    1,782,492.75x = 7,194,650,809,511.39
  5. Step 5: Solve for x
    x = 7,194,650,809,511.39/1,782,492.75
  6. Step 6: Final answer
    x = 4,036,286.16

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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.