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Finding the Third Proportional to 618,489 and 1,341,936

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Solution

The third proportional to 618,489 and 1,341,936 is: 2,911,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,489 : 1,341,936 = 1,341,936 : x
  2. Step 2: Convert to fraction form
    618,489/1,341,936 = 1,341,936/x
  3. Step 3: Cross multiply
    618,489x = 1,341,936 × 1,341,936
  4. Step 4: Simplify right side
    618,489x = 1,800,792,228,096
  5. Step 5: Solve for x
    x = 1,800,792,228,096/618,489
  6. Step 6: Final answer
    x = 2,911,599.44

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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.