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Finding the Third Proportional to 550,952 and 1,194,512

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Solution

The third proportional to 550,952 and 1,194,512 is: 2,589,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,952 : 1,194,512 = 1,194,512 : x
  2. Step 2: Convert to fraction form
    550,952/1,194,512 = 1,194,512/x
  3. Step 3: Cross multiply
    550,952x = 1,194,512 × 1,194,512
  4. Step 4: Simplify right side
    550,952x = 1,426,858,918,144
  5. Step 5: Solve for x
    x = 1,426,858,918,144/550,952
  6. Step 6: Final answer
    x = 2,589,806.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.