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Finding the Third Proportional to 2,949,646 and 6,435,496

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Solution

The third proportional to 2,949,646 and 6,435,496 is: 14,040,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,646 : 6,435,496 = 6,435,496 : x
  2. Step 2: Convert to fraction form
    2,949,646/6,435,496 = 6,435,496/x
  3. Step 3: Cross multiply
    2,949,646x = 6,435,496 × 6,435,496
  4. Step 4: Simplify right side
    2,949,646x = 41,415,608,766,016
  5. Step 5: Solve for x
    x = 41,415,608,766,016/2,949,646
  6. Step 6: Final answer
    x = 14,040,874.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.