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Finding the Third Proportional to 777,924 and 1,609,844

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Solution

The third proportional to 777,924 and 1,609,844 is: 3,331,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,924 : 1,609,844 = 1,609,844 : x
  2. Step 2: Convert to fraction form
    777,924/1,609,844 = 1,609,844/x
  3. Step 3: Cross multiply
    777,924x = 1,609,844 × 1,609,844
  4. Step 4: Simplify right side
    777,924x = 2,591,597,704,336
  5. Step 5: Solve for x
    x = 2,591,597,704,336/777,924
  6. Step 6: Final answer
    x = 3,331,427.88

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