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Finding the Third Proportional to 517,449 and 1,131,085

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Solution

The third proportional to 517,449 and 1,131,085 is: 2,472,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,449 : 1,131,085 = 1,131,085 : x
  2. Step 2: Convert to fraction form
    517,449/1,131,085 = 1,131,085/x
  3. Step 3: Cross multiply
    517,449x = 1,131,085 × 1,131,085
  4. Step 4: Simplify right side
    517,449x = 1,279,353,277,225
  5. Step 5: Solve for x
    x = 1,279,353,277,225/517,449
  6. Step 6: Final answer
    x = 2,472,423.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.