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Finding the Third Proportional to 611,903 and 1,325,503

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Solution

The third proportional to 611,903 and 1,325,503 is: 2,871,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,903 : 1,325,503 = 1,325,503 : x
  2. Step 2: Convert to fraction form
    611,903/1,325,503 = 1,325,503/x
  3. Step 3: Cross multiply
    611,903x = 1,325,503 × 1,325,503
  4. Step 4: Simplify right side
    611,903x = 1,756,958,203,009
  5. Step 5: Solve for x
    x = 1,756,958,203,009/611,903
  6. Step 6: Final answer
    x = 2,871,301.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.