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Finding the Third Proportional to 789,072 and 1,725,760

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Solution

The third proportional to 789,072 and 1,725,760 is: 3,774,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,072 : 1,725,760 = 1,725,760 : x
  2. Step 2: Convert to fraction form
    789,072/1,725,760 = 1,725,760/x
  3. Step 3: Cross multiply
    789,072x = 1,725,760 × 1,725,760
  4. Step 4: Simplify right side
    789,072x = 2,978,247,577,600
  5. Step 5: Solve for x
    x = 2,978,247,577,600/789,072
  6. Step 6: Final answer
    x = 3,774,367.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.