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Finding the Third Proportional to 523,865.25 and 1,122,461.25

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Solution

The third proportional to 523,865.25 and 1,122,461.25 is: 2,405,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,865.25 : 1,122,461.25 = 1,122,461.25 : x
  2. Step 2: Convert to fraction form
    523,865.25/1,122,461.25 = 1,122,461.25/x
  3. Step 3: Cross multiply
    523,865.25x = 1,122,461.25 × 1,122,461.25
  4. Step 4: Simplify right side
    523,865.25x = 1,259,919,257,751.56
  5. Step 5: Solve for x
    x = 1,259,919,257,751.56/523,865.25
  6. Step 6: Final answer
    x = 2,405,044.54

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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.