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Finding the Third Proportional to 1,588,966 and 2,431,134

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Solution

The third proportional to 1,588,966 and 2,431,134 is: 3,719,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,966 : 2,431,134 = 2,431,134 : x
  2. Step 2: Convert to fraction form
    1,588,966/2,431,134 = 2,431,134/x
  3. Step 3: Cross multiply
    1,588,966x = 2,431,134 × 2,431,134
  4. Step 4: Simplify right side
    1,588,966x = 5,910,412,525,956
  5. Step 5: Solve for x
    x = 5,910,412,525,956/1,588,966
  6. Step 6: Final answer
    x = 3,719,659.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.