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Finding the Third Proportional to 509,262 and 1,109,832

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Solution

The third proportional to 509,262 and 1,109,832 is: 2,418,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,262 : 1,109,832 = 1,109,832 : x
  2. Step 2: Convert to fraction form
    509,262/1,109,832 = 1,109,832/x
  3. Step 3: Cross multiply
    509,262x = 1,109,832 × 1,109,832
  4. Step 4: Simplify right side
    509,262x = 1,231,727,068,224
  5. Step 5: Solve for x
    x = 1,231,727,068,224/509,262
  6. Step 6: Final answer
    x = 2,418,651.04

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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.