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Finding the Third Proportional to 599,838.75 and 1,284,099.75

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Solution

The third proportional to 599,838.75 and 1,284,099.75 is: 2,748,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,838.75 : 1,284,099.75 = 1,284,099.75 : x
  2. Step 2: Convert to fraction form
    599,838.75/1,284,099.75 = 1,284,099.75/x
  3. Step 3: Cross multiply
    599,838.75x = 1,284,099.75 × 1,284,099.75
  4. Step 4: Simplify right side
    599,838.75x = 1,648,912,167,950.06
  5. Step 5: Solve for x
    x = 1,648,912,167,950.06/599,838.75
  6. Step 6: Final answer
    x = 2,748,925.72

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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.