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Finding the Third Proportional to 1,846,354 and 3,839,476

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Solution

The third proportional to 1,846,354 and 3,839,476 is: 7,984,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,354 : 3,839,476 = 3,839,476 : x
  2. Step 2: Convert to fraction form
    1,846,354/3,839,476 = 3,839,476/x
  3. Step 3: Cross multiply
    1,846,354x = 3,839,476 × 3,839,476
  4. Step 4: Simplify right side
    1,846,354x = 14,741,575,954,576
  5. Step 5: Solve for x
    x = 14,741,575,954,576/1,846,354
  6. Step 6: Final answer
    x = 7,984,154.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.