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Finding the Third Proportional to 609,810.75 and 892,845.75

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Solution

The third proportional to 609,810.75 and 892,845.75 is: 1,307,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,810.75 : 892,845.75 = 892,845.75 : x
  2. Step 2: Convert to fraction form
    609,810.75/892,845.75 = 892,845.75/x
  3. Step 3: Cross multiply
    609,810.75x = 892,845.75 × 892,845.75
  4. Step 4: Simplify right side
    609,810.75x = 797,173,533,293.06
  5. Step 5: Solve for x
    x = 797,173,533,293.06/609,810.75
  6. Step 6: Final answer
    x = 1,307,247.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.