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Finding the Third Proportional to 611,832 and 1,325,361

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Solution

The third proportional to 611,832 and 1,325,361 is: 2,871,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,832 : 1,325,361 = 1,325,361 : x
  2. Step 2: Convert to fraction form
    611,832/1,325,361 = 1,325,361/x
  3. Step 3: Cross multiply
    611,832x = 1,325,361 × 1,325,361
  4. Step 4: Simplify right side
    611,832x = 1,756,581,780,321
  5. Step 5: Solve for x
    x = 1,756,581,780,321/611,832
  6. Step 6: Final answer
    x = 2,871,019.79

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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.