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Finding the Third Proportional to 1,630,064 and 3,582,824

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Solution

The third proportional to 1,630,064 and 3,582,824 is: 7,874,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,064 : 3,582,824 = 3,582,824 : x
  2. Step 2: Convert to fraction form
    1,630,064/3,582,824 = 3,582,824/x
  3. Step 3: Cross multiply
    1,630,064x = 3,582,824 × 3,582,824
  4. Step 4: Simplify right side
    1,630,064x = 12,836,627,814,976
  5. Step 5: Solve for x
    x = 12,836,627,814,976/1,630,064
  6. Step 6: Final answer
    x = 7,874,922.59

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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.