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Finding the Third Proportional to 762,096 and 1,664,157

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Solution

The third proportional to 762,096 and 1,664,157 is: 3,633,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,096 : 1,664,157 = 1,664,157 : x
  2. Step 2: Convert to fraction form
    762,096/1,664,157 = 1,664,157/x
  3. Step 3: Cross multiply
    762,096x = 1,664,157 × 1,664,157
  4. Step 4: Simplify right side
    762,096x = 2,769,418,520,649
  5. Step 5: Solve for x
    x = 2,769,418,520,649/762,096
  6. Step 6: Final answer
    x = 3,633,949.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.