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Finding the Third Proportional to 777,888 and 1,609,696

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Solution

The third proportional to 777,888 and 1,609,696 is: 3,330,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,888 : 1,609,696 = 1,609,696 : x
  2. Step 2: Convert to fraction form
    777,888/1,609,696 = 1,609,696/x
  3. Step 3: Cross multiply
    777,888x = 1,609,696 × 1,609,696
  4. Step 4: Simplify right side
    777,888x = 2,591,121,212,416
  5. Step 5: Solve for x
    x = 2,591,121,212,416/777,888
  6. Step 6: Final answer
    x = 3,330,969.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.