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Finding the Third Proportional to 596,120 and 901,884

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Solution

The third proportional to 596,120 and 901,884 is: 1,364,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,120 : 901,884 = 901,884 : x
  2. Step 2: Convert to fraction form
    596,120/901,884 = 901,884/x
  3. Step 3: Cross multiply
    596,120x = 901,884 × 901,884
  4. Step 4: Simplify right side
    596,120x = 813,394,749,456
  5. Step 5: Solve for x
    x = 813,394,749,456/596,120
  6. Step 6: Final answer
    x = 1,364,481.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.