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Finding the Third Proportional to 796,094 and 1,191,222

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Solution

The third proportional to 796,094 and 1,191,222 is: 1,782,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,094 : 1,191,222 = 1,191,222 : x
  2. Step 2: Convert to fraction form
    796,094/1,191,222 = 1,191,222/x
  3. Step 3: Cross multiply
    796,094x = 1,191,222 × 1,191,222
  4. Step 4: Simplify right side
    796,094x = 1,419,009,853,284
  5. Step 5: Solve for x
    x = 1,419,009,853,284/796,094
  6. Step 6: Final answer
    x = 1,782,465.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.