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Finding the Third Proportional to 519,986.25 and 1,117,580.63

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Solution

The third proportional to 519,986.25 and 1,117,580.63 is: 2,401,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,986.25 : 1,117,580.63 = 1,117,580.63 : x
  2. Step 2: Convert to fraction form
    519,986.25/1,117,580.63 = 1,117,580.63/x
  3. Step 3: Cross multiply
    519,986.25x = 1,117,580.63 × 1,117,580.63
  4. Step 4: Simplify right side
    519,986.25x = 1,248,986,453,375.39
  5. Step 5: Solve for x
    x = 1,248,986,453,375.39/519,986.25
  6. Step 6: Final answer
    x = 2,401,960.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.