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Finding the Third Proportional to 559,815 and 1,199,493

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Solution

The third proportional to 559,815 and 1,199,493 is: 2,570,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,815 : 1,199,493 = 1,199,493 : x
  2. Step 2: Convert to fraction form
    559,815/1,199,493 = 1,199,493/x
  3. Step 3: Cross multiply
    559,815x = 1,199,493 × 1,199,493
  4. Step 4: Simplify right side
    559,815x = 1,438,783,457,049
  5. Step 5: Solve for x
    x = 1,438,783,457,049/559,815
  6. Step 6: Final answer
    x = 2,570,105.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.