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Finding the Third Proportional to 3,084,602 and 4,608,759

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Solution

The third proportional to 3,084,602 and 4,608,759 is: 6,886,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,602 : 4,608,759 = 4,608,759 : x
  2. Step 2: Convert to fraction form
    3,084,602/4,608,759 = 4,608,759/x
  3. Step 3: Cross multiply
    3,084,602x = 4,608,759 × 4,608,759
  4. Step 4: Simplify right side
    3,084,602x = 21,240,659,520,081
  5. Step 5: Solve for x
    x = 21,240,659,520,081/3,084,602
  6. Step 6: Final answer
    x = 6,886,029.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.