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Finding the Third Proportional to 863,811 and 1,884,843

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Solution

The third proportional to 863,811 and 1,884,843 is: 4,112,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,811 : 1,884,843 = 1,884,843 : x
  2. Step 2: Convert to fraction form
    863,811/1,884,843 = 1,884,843/x
  3. Step 3: Cross multiply
    863,811x = 1,884,843 × 1,884,843
  4. Step 4: Simplify right side
    863,811x = 3,552,633,134,649
  5. Step 5: Solve for x
    x = 3,552,633,134,649/863,811
  6. Step 6: Final answer
    x = 4,112,743.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.