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Finding the Third Proportional to 598,839 and 1,225,620

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Solution

The third proportional to 598,839 and 1,225,620 is: 2,508,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,839 : 1,225,620 = 1,225,620 : x
  2. Step 2: Convert to fraction form
    598,839/1,225,620 = 1,225,620/x
  3. Step 3: Cross multiply
    598,839x = 1,225,620 × 1,225,620
  4. Step 4: Simplify right side
    598,839x = 1,502,144,384,400
  5. Step 5: Solve for x
    x = 1,502,144,384,400/598,839
  6. Step 6: Final answer
    x = 2,508,427.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.