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Finding the Third Proportional to 599,370 and 843,120

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Solution

The third proportional to 599,370 and 843,120 is: 1,185,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,370 : 843,120 = 843,120 : x
  2. Step 2: Convert to fraction form
    599,370/843,120 = 843,120/x
  3. Step 3: Cross multiply
    599,370x = 843,120 × 843,120
  4. Step 4: Simplify right side
    599,370x = 710,851,334,400
  5. Step 5: Solve for x
    x = 710,851,334,400/599,370
  6. Step 6: Final answer
    x = 1,185,997.52

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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.