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Finding the Third Proportional to 505,370 and 1,094,771

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Solution

The third proportional to 505,370 and 1,094,771 is: 2,371,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,370 : 1,094,771 = 1,094,771 : x
  2. Step 2: Convert to fraction form
    505,370/1,094,771 = 1,094,771/x
  3. Step 3: Cross multiply
    505,370x = 1,094,771 × 1,094,771
  4. Step 4: Simplify right side
    505,370x = 1,198,523,542,441
  5. Step 5: Solve for x
    x = 1,198,523,542,441/505,370
  6. Step 6: Final answer
    x = 2,371,576.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.