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Finding the Third Proportional to 499,822 and 1,088,383

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Solution

The third proportional to 499,822 and 1,088,383 is: 2,369,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,822 : 1,088,383 = 1,088,383 : x
  2. Step 2: Convert to fraction form
    499,822/1,088,383 = 1,088,383/x
  3. Step 3: Cross multiply
    499,822x = 1,088,383 × 1,088,383
  4. Step 4: Simplify right side
    499,822x = 1,184,577,554,689
  5. Step 5: Solve for x
    x = 1,184,577,554,689/499,822
  6. Step 6: Final answer
    x = 2,369,998.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.