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Finding the Third Proportional to 1,052,138 and 2,301,100

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Solution

The third proportional to 1,052,138 and 2,301,100 is: 5,032,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,138 : 2,301,100 = 2,301,100 : x
  2. Step 2: Convert to fraction form
    1,052,138/2,301,100 = 2,301,100/x
  3. Step 3: Cross multiply
    1,052,138x = 2,301,100 × 2,301,100
  4. Step 4: Simplify right side
    1,052,138x = 5,295,061,210,000
  5. Step 5: Solve for x
    x = 5,295,061,210,000/1,052,138
  6. Step 6: Final answer
    x = 5,032,667.97

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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.