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Finding the Third Proportional to 436,116 and 955,176

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Solution

The third proportional to 436,116 and 955,176 is: 2,092,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,116 : 955,176 = 955,176 : x
  2. Step 2: Convert to fraction form
    436,116/955,176 = 955,176/x
  3. Step 3: Cross multiply
    436,116x = 955,176 × 955,176
  4. Step 4: Simplify right side
    436,116x = 912,361,190,976
  5. Step 5: Solve for x
    x = 912,361,190,976/436,116
  6. Step 6: Final answer
    x = 2,092,014.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.