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Finding the Third Proportional to 510,954 and 1,111,116

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Solution

The third proportional to 510,954 and 1,111,116 is: 2,416,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,954 : 1,111,116 = 1,111,116 : x
  2. Step 2: Convert to fraction form
    510,954/1,111,116 = 1,111,116/x
  3. Step 3: Cross multiply
    510,954x = 1,111,116 × 1,111,116
  4. Step 4: Simplify right side
    510,954x = 1,234,578,765,456
  5. Step 5: Solve for x
    x = 1,234,578,765,456/510,954
  6. Step 6: Final answer
    x = 2,416,222.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.