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Finding the Third Proportional to 983,133 and 1,481,625

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Solution

The third proportional to 983,133 and 1,481,625 is: 2,232,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,133 : 1,481,625 = 1,481,625 : x
  2. Step 2: Convert to fraction form
    983,133/1,481,625 = 1,481,625/x
  3. Step 3: Cross multiply
    983,133x = 1,481,625 × 1,481,625
  4. Step 4: Simplify right side
    983,133x = 2,195,212,640,625
  5. Step 5: Solve for x
    x = 2,195,212,640,625/983,133
  6. Step 6: Final answer
    x = 2,232,874.54

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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.