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Finding the Third Proportional to 517,251 and 1,127,616

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Solution

The third proportional to 517,251 and 1,127,616 is: 2,458,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,251 : 1,127,616 = 1,127,616 : x
  2. Step 2: Convert to fraction form
    517,251/1,127,616 = 1,127,616/x
  3. Step 3: Cross multiply
    517,251x = 1,127,616 × 1,127,616
  4. Step 4: Simplify right side
    517,251x = 1,271,517,843,456
  5. Step 5: Solve for x
    x = 1,271,517,843,456/517,251
  6. Step 6: Final answer
    x = 2,458,222.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.