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Finding the Third Proportional to 599,558 and 1,284,582

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Solution

The third proportional to 599,558 and 1,284,582 is: 2,752,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,558 : 1,284,582 = 1,284,582 : x
  2. Step 2: Convert to fraction form
    599,558/1,284,582 = 1,284,582/x
  3. Step 3: Cross multiply
    599,558x = 1,284,582 × 1,284,582
  4. Step 4: Simplify right side
    599,558x = 1,650,150,914,724
  5. Step 5: Solve for x
    x = 1,650,150,914,724/599,558
  6. Step 6: Final answer
    x = 2,752,279.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.