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Finding the Third Proportional to 519,625 and 1,116,604

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Solution

The third proportional to 519,625 and 1,116,604 is: 2,399,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,625 : 1,116,604 = 1,116,604 : x
  2. Step 2: Convert to fraction form
    519,625/1,116,604 = 1,116,604/x
  3. Step 3: Cross multiply
    519,625x = 1,116,604 × 1,116,604
  4. Step 4: Simplify right side
    519,625x = 1,246,804,492,816
  5. Step 5: Solve for x
    x = 1,246,804,492,816/519,625
  6. Step 6: Final answer
    x = 2,399,431.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.