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Finding the Third Proportional to 901,476 and 1,836,351

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Solution

The third proportional to 901,476 and 1,836,351 is: 3,740,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,476 : 1,836,351 = 1,836,351 : x
  2. Step 2: Convert to fraction form
    901,476/1,836,351 = 1,836,351/x
  3. Step 3: Cross multiply
    901,476x = 1,836,351 × 1,836,351
  4. Step 4: Simplify right side
    901,476x = 3,372,184,995,201
  5. Step 5: Solve for x
    x = 3,372,184,995,201/901,476
  6. Step 6: Final answer
    x = 3,740,737.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.