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Finding the Third Proportional to 1,096,643.81 and 2,405,138.06

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Solution

The third proportional to 1,096,643.81 and 2,405,138.06 is: 5,274,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,643.81 : 2,405,138.06 = 2,405,138.06 : x
  2. Step 2: Convert to fraction form
    1,096,643.81/2,405,138.06 = 2,405,138.06/x
  3. Step 3: Cross multiply
    1,096,643.81x = 2,405,138.06 × 2,405,138.06
  4. Step 4: Simplify right side
    1,096,643.81x = 5,784,689,099,686.25
  5. Step 5: Solve for x
    x = 5,784,689,099,686.25/1,096,643.81
  6. Step 6: Final answer
    x = 5,274,902.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.