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Finding the Third Proportional to 732,596 and 1,543,912

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Solution

The third proportional to 732,596 and 1,543,912 is: 3,253,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,596 : 1,543,912 = 1,543,912 : x
  2. Step 2: Convert to fraction form
    732,596/1,543,912 = 1,543,912/x
  3. Step 3: Cross multiply
    732,596x = 1,543,912 × 1,543,912
  4. Step 4: Simplify right side
    732,596x = 2,383,664,263,744
  5. Step 5: Solve for x
    x = 2,383,664,263,744/732,596
  6. Step 6: Final answer
    x = 3,253,722.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.