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Finding the Third Proportional to 796,390 and 1,233,107

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Solution

The third proportional to 796,390 and 1,233,107 is: 1,909,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,390 : 1,233,107 = 1,233,107 : x
  2. Step 2: Convert to fraction form
    796,390/1,233,107 = 1,233,107/x
  3. Step 3: Cross multiply
    796,390x = 1,233,107 × 1,233,107
  4. Step 4: Simplify right side
    796,390x = 1,520,552,873,449
  5. Step 5: Solve for x
    x = 1,520,552,873,449/796,390
  6. Step 6: Final answer
    x = 1,909,306.84

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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.