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Finding the Third Proportional to 3,205,968 and 4,798,904

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Solution

The third proportional to 3,205,968 and 4,798,904 is: 7,183,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,968 : 4,798,904 = 4,798,904 : x
  2. Step 2: Convert to fraction form
    3,205,968/4,798,904 = 4,798,904/x
  3. Step 3: Cross multiply
    3,205,968x = 4,798,904 × 4,798,904
  4. Step 4: Simplify right side
    3,205,968x = 23,029,479,601,216
  5. Step 5: Solve for x
    x = 23,029,479,601,216/3,205,968
  6. Step 6: Final answer
    x = 7,183,315.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.