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Finding the Third Proportional to 1,630,296 and 3,836,018

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Solution

The third proportional to 1,630,296 and 3,836,018 is: 9,025,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,296 : 3,836,018 = 3,836,018 : x
  2. Step 2: Convert to fraction form
    1,630,296/3,836,018 = 3,836,018/x
  3. Step 3: Cross multiply
    1,630,296x = 3,836,018 × 3,836,018
  4. Step 4: Simplify right side
    1,630,296x = 14,715,034,096,324
  5. Step 5: Solve for x
    x = 14,715,034,096,324/1,630,296
  6. Step 6: Final answer
    x = 9,025,989.20

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.