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Finding the Third Proportional to 796,380 and 1,233,090

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Solution

The third proportional to 796,380 and 1,233,090 is: 1,909,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,380 : 1,233,090 = 1,233,090 : x
  2. Step 2: Convert to fraction form
    796,380/1,233,090 = 1,233,090/x
  3. Step 3: Cross multiply
    796,380x = 1,233,090 × 1,233,090
  4. Step 4: Simplify right side
    796,380x = 1,520,510,948,100
  5. Step 5: Solve for x
    x = 1,520,510,948,100/796,380
  6. Step 6: Final answer
    x = 1,909,278.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.