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Finding the Third Proportional to 598,438 and 1,309,483

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Solution

The third proportional to 598,438 and 1,309,483 is: 2,865,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,438 : 1,309,483 = 1,309,483 : x
  2. Step 2: Convert to fraction form
    598,438/1,309,483 = 1,309,483/x
  3. Step 3: Cross multiply
    598,438x = 1,309,483 × 1,309,483
  4. Step 4: Simplify right side
    598,438x = 1,714,745,727,289
  5. Step 5: Solve for x
    x = 1,714,745,727,289/598,438
  6. Step 6: Final answer
    x = 2,865,369.06

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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.