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Finding the Third Proportional to 2,584,426 and 5,682,284

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Solution

The third proportional to 2,584,426 and 5,682,284 is: 12,493,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,426 : 5,682,284 = 5,682,284 : x
  2. Step 2: Convert to fraction form
    2,584,426/5,682,284 = 5,682,284/x
  3. Step 3: Cross multiply
    2,584,426x = 5,682,284 × 5,682,284
  4. Step 4: Simplify right side
    2,584,426x = 32,288,351,456,656
  5. Step 5: Solve for x
    x = 32,288,351,456,656/2,584,426
  6. Step 6: Final answer
    x = 12,493,432.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.