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Finding the Third Proportional to 2,158,761 and 4,649,763

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Solution

The third proportional to 2,158,761 and 4,649,763 is: 10,015,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158,761 : 4,649,763 = 4,649,763 : x
  2. Step 2: Convert to fraction form
    2,158,761/4,649,763 = 4,649,763/x
  3. Step 3: Cross multiply
    2,158,761x = 4,649,763 × 4,649,763
  4. Step 4: Simplify right side
    2,158,761x = 21,620,295,956,169
  5. Step 5: Solve for x
    x = 21,620,295,956,169/2,158,761
  6. Step 6: Final answer
    x = 10,015,141.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.