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Finding the Third Proportional to 749,601 and 1,096,409.25

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Solution

The third proportional to 749,601 and 1,096,409.25 is: 1,603,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,601 : 1,096,409.25 = 1,096,409.25 : x
  2. Step 2: Convert to fraction form
    749,601/1,096,409.25 = 1,096,409.25/x
  3. Step 3: Cross multiply
    749,601x = 1,096,409.25 × 1,096,409.25
  4. Step 4: Simplify right side
    749,601x = 1,202,113,243,485.56
  5. Step 5: Solve for x
    x = 1,202,113,243,485.56/749,601
  6. Step 6: Final answer
    x = 1,603,670.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.