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Finding the Third Proportional to 513,832 and 1,083,058

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Solution

The third proportional to 513,832 and 1,083,058 is: 2,282,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,832 : 1,083,058 = 1,083,058 : x
  2. Step 2: Convert to fraction form
    513,832/1,083,058 = 1,083,058/x
  3. Step 3: Cross multiply
    513,832x = 1,083,058 × 1,083,058
  4. Step 4: Simplify right side
    513,832x = 1,173,014,631,364
  5. Step 5: Solve for x
    x = 1,173,014,631,364/513,832
  6. Step 6: Final answer
    x = 2,282,875.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.