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Finding the Third Proportional to 757,096 and 1,172,096

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Solution

The third proportional to 757,096 and 1,172,096 is: 1,814,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,096 : 1,172,096 = 1,172,096 : x
  2. Step 2: Convert to fraction form
    757,096/1,172,096 = 1,172,096/x
  3. Step 3: Cross multiply
    757,096x = 1,172,096 × 1,172,096
  4. Step 4: Simplify right side
    757,096x = 1,373,809,033,216
  5. Step 5: Solve for x
    x = 1,373,809,033,216/757,096
  6. Step 6: Final answer
    x = 1,814,577.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.