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Finding the Third Proportional to 598,433 and 1,309,474

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Solution

The third proportional to 598,433 and 1,309,474 is: 2,865,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,433 : 1,309,474 = 1,309,474 : x
  2. Step 2: Convert to fraction form
    598,433/1,309,474 = 1,309,474/x
  3. Step 3: Cross multiply
    598,433x = 1,309,474 × 1,309,474
  4. Step 4: Simplify right side
    598,433x = 1,714,722,156,676
  5. Step 5: Solve for x
    x = 1,714,722,156,676/598,433
  6. Step 6: Final answer
    x = 2,865,353.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.