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Finding the Third Proportional to 719,197 and 1,091,917

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Solution

The third proportional to 719,197 and 1,091,917 is: 1,657,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,197 : 1,091,917 = 1,091,917 : x
  2. Step 2: Convert to fraction form
    719,197/1,091,917 = 1,091,917/x
  3. Step 3: Cross multiply
    719,197x = 1,091,917 × 1,091,917
  4. Step 4: Simplify right side
    719,197x = 1,192,282,734,889
  5. Step 5: Solve for x
    x = 1,192,282,734,889/719,197
  6. Step 6: Final answer
    x = 1,657,797.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.