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Finding the Third Proportional to 599,222 and 842,848

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Solution

The third proportional to 599,222 and 842,848 is: 1,185,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,222 : 842,848 = 842,848 : x
  2. Step 2: Convert to fraction form
    599,222/842,848 = 842,848/x
  3. Step 3: Cross multiply
    599,222x = 842,848 × 842,848
  4. Step 4: Simplify right side
    599,222x = 710,392,751,104
  5. Step 5: Solve for x
    x = 710,392,751,104/599,222
  6. Step 6: Final answer
    x = 1,185,525.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.