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Finding the Third Proportional to 863,961 and 1,216,116

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Solution

The third proportional to 863,961 and 1,216,116 is: 1,711,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,961 : 1,216,116 = 1,216,116 : x
  2. Step 2: Convert to fraction form
    863,961/1,216,116 = 1,216,116/x
  3. Step 3: Cross multiply
    863,961x = 1,216,116 × 1,216,116
  4. Step 4: Simplify right side
    863,961x = 1,478,938,125,456
  5. Step 5: Solve for x
    x = 1,478,938,125,456/863,961
  6. Step 6: Final answer
    x = 1,711,811.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.