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Finding the Third Proportional to 1,467,966 and 2,145,303

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Solution

The third proportional to 1,467,966 and 2,145,303 is: 3,135,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,966 : 2,145,303 = 2,145,303 : x
  2. Step 2: Convert to fraction form
    1,467,966/2,145,303 = 2,145,303/x
  3. Step 3: Cross multiply
    1,467,966x = 2,145,303 × 2,145,303
  4. Step 4: Simplify right side
    1,467,966x = 4,602,324,961,809
  5. Step 5: Solve for x
    x = 4,602,324,961,809/1,467,966
  6. Step 6: Final answer
    x = 3,135,171.36

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Why These Related Problems?

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