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Finding the Third Proportional to 863,813 and 1,884,847

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Solution

The third proportional to 863,813 and 1,884,847 is: 4,112,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,813 : 1,884,847 = 1,884,847 : x
  2. Step 2: Convert to fraction form
    863,813/1,884,847 = 1,884,847/x
  3. Step 3: Cross multiply
    863,813x = 1,884,847 × 1,884,847
  4. Step 4: Simplify right side
    863,813x = 3,552,648,213,409
  5. Step 5: Solve for x
    x = 3,552,648,213,409/863,813
  6. Step 6: Final answer
    x = 4,112,751.50

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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.