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Finding the Third Proportional to 505,834 and 1,058,431

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Solution

The third proportional to 505,834 and 1,058,431 is: 2,214,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,834 : 1,058,431 = 1,058,431 : x
  2. Step 2: Convert to fraction form
    505,834/1,058,431 = 1,058,431/x
  3. Step 3: Cross multiply
    505,834x = 1,058,431 × 1,058,431
  4. Step 4: Simplify right side
    505,834x = 1,120,276,181,761
  5. Step 5: Solve for x
    x = 1,120,276,181,761/505,834
  6. Step 6: Final answer
    x = 2,214,711.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.