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Finding the Third Proportional to 1,782,322 and 3,848,732

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Solution

The third proportional to 1,782,322 and 3,848,732 is: 8,310,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,322 : 3,848,732 = 3,848,732 : x
  2. Step 2: Convert to fraction form
    1,782,322/3,848,732 = 3,848,732/x
  3. Step 3: Cross multiply
    1,782,322x = 3,848,732 × 3,848,732
  4. Step 4: Simplify right side
    1,782,322x = 14,812,738,007,824
  5. Step 5: Solve for x
    x = 14,812,738,007,824/1,782,322
  6. Step 6: Final answer
    x = 8,310,921.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.