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Finding the Third Proportional to 1,840,380 and 3,936,636

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Solution

The third proportional to 1,840,380 and 3,936,636 is: 8,420,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,380 : 3,936,636 = 3,936,636 : x
  2. Step 2: Convert to fraction form
    1,840,380/3,936,636 = 3,936,636/x
  3. Step 3: Cross multiply
    1,840,380x = 3,936,636 × 3,936,636
  4. Step 4: Simplify right side
    1,840,380x = 15,497,102,996,496
  5. Step 5: Solve for x
    x = 15,497,102,996,496/1,840,380
  6. Step 6: Final answer
    x = 8,420,599.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.