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Finding the Third Proportional to 601,946.44 and 1,253,715.75

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Solution

The third proportional to 601,946.44 and 1,253,715.75 is: 2,611,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,946.44 : 1,253,715.75 = 1,253,715.75 : x
  2. Step 2: Convert to fraction form
    601,946.44/1,253,715.75 = 1,253,715.75/x
  3. Step 3: Cross multiply
    601,946.44x = 1,253,715.75 × 1,253,715.75
  4. Step 4: Simplify right side
    601,946.44x = 1,571,803,181,798.06
  5. Step 5: Solve for x
    x = 1,571,803,181,798.06/601,946.44
  6. Step 6: Final answer
    x = 2,611,201.07

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.