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Finding the Third Proportional to 4,194,834 and 6,477,694

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Solution

The third proportional to 4,194,834 and 6,477,694 is: 10,002,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,834 : 6,477,694 = 6,477,694 : x
  2. Step 2: Convert to fraction form
    4,194,834/6,477,694 = 6,477,694/x
  3. Step 3: Cross multiply
    4,194,834x = 6,477,694 × 6,477,694
  4. Step 4: Simplify right side
    4,194,834x = 41,960,519,557,636
  5. Step 5: Solve for x
    x = 41,960,519,557,636/4,194,834
  6. Step 6: Final answer
    x = 10,002,903.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.