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Finding the Third Proportional to 869,966 and 1,844,380

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Solution

The third proportional to 869,966 and 1,844,380 is: 3,910,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,966 : 1,844,380 = 1,844,380 : x
  2. Step 2: Convert to fraction form
    869,966/1,844,380 = 1,844,380/x
  3. Step 3: Cross multiply
    869,966x = 1,844,380 × 1,844,380
  4. Step 4: Simplify right side
    869,966x = 3,401,737,584,400
  5. Step 5: Solve for x
    x = 3,401,737,584,400/869,966
  6. Step 6: Final answer
    x = 3,910,196.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.