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Finding the Third Proportional to 1,042,238.81 and 2,258,451.56

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Solution

The third proportional to 1,042,238.81 and 2,258,451.56 is: 4,893,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,238.81 : 2,258,451.56 = 2,258,451.56 : x
  2. Step 2: Convert to fraction form
    1,042,238.81/2,258,451.56 = 2,258,451.56/x
  3. Step 3: Cross multiply
    1,042,238.81x = 2,258,451.56 × 2,258,451.56
  4. Step 4: Simplify right side
    1,042,238.81x = 5,100,603,460,158.69
  5. Step 5: Solve for x
    x = 5,100,603,460,158.69/1,042,238.81
  6. Step 6: Final answer
    x = 4,893,891.30

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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.