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Finding the Third Proportional to 4,458,920 and 6,832,268

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Solution

The third proportional to 4,458,920 and 6,832,268 is: 10,468,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458,920 : 6,832,268 = 6,832,268 : x
  2. Step 2: Convert to fraction form
    4,458,920/6,832,268 = 6,832,268/x
  3. Step 3: Cross multiply
    4,458,920x = 6,832,268 × 6,832,268
  4. Step 4: Simplify right side
    4,458,920x = 46,679,886,023,824
  5. Step 5: Solve for x
    x = 46,679,886,023,824/4,458,920
  6. Step 6: Final answer
    x = 10,468,877.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.