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Finding the Third Proportional to 1,410,942 and 2,129,145

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Solution

The third proportional to 1,410,942 and 2,129,145 is: 3,212,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,942 : 2,129,145 = 2,129,145 : x
  2. Step 2: Convert to fraction form
    1,410,942/2,129,145 = 2,129,145/x
  3. Step 3: Cross multiply
    1,410,942x = 2,129,145 × 2,129,145
  4. Step 4: Simplify right side
    1,410,942x = 4,533,258,431,025
  5. Step 5: Solve for x
    x = 4,533,258,431,025/1,410,942
  6. Step 6: Final answer
    x = 3,212,930.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.