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Finding the Third Proportional to 599,156 and 1,304,116

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Solution

The third proportional to 599,156 and 1,304,116 is: 2,838,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,156 : 1,304,116 = 1,304,116 : x
  2. Step 2: Convert to fraction form
    599,156/1,304,116 = 1,304,116/x
  3. Step 3: Cross multiply
    599,156x = 1,304,116 × 1,304,116
  4. Step 4: Simplify right side
    599,156x = 1,700,718,541,456
  5. Step 5: Solve for x
    x = 1,700,718,541,456/599,156
  6. Step 6: Final answer
    x = 2,838,523.76

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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.