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Finding the Third Proportional to 4,084,562 and 6,783,939

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Solution

The third proportional to 4,084,562 and 6,783,939 is: 11,267,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084,562 : 6,783,939 = 6,783,939 : x
  2. Step 2: Convert to fraction form
    4,084,562/6,783,939 = 6,783,939/x
  3. Step 3: Cross multiply
    4,084,562x = 6,783,939 × 6,783,939
  4. Step 4: Simplify right side
    4,084,562x = 46,021,828,355,721
  5. Step 5: Solve for x
    x = 46,021,828,355,721/4,084,562
  6. Step 6: Final answer
    x = 11,267,261.55

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.