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Finding the Third Proportional to 1,030,296 and 2,232,096

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Solution

The third proportional to 1,030,296 and 2,232,096 is: 4,835,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,296 : 2,232,096 = 2,232,096 : x
  2. Step 2: Convert to fraction form
    1,030,296/2,232,096 = 2,232,096/x
  3. Step 3: Cross multiply
    1,030,296x = 2,232,096 × 2,232,096
  4. Step 4: Simplify right side
    1,030,296x = 4,982,252,553,216
  5. Step 5: Solve for x
    x = 4,982,252,553,216/1,030,296
  6. Step 6: Final answer
    x = 4,835,748.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.