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Finding the Third Proportional to 505,373 and 1,099,834

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Solution

The third proportional to 505,373 and 1,099,834 is: 2,393,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,373 : 1,099,834 = 1,099,834 : x
  2. Step 2: Convert to fraction form
    505,373/1,099,834 = 1,099,834/x
  3. Step 3: Cross multiply
    505,373x = 1,099,834 × 1,099,834
  4. Step 4: Simplify right side
    505,373x = 1,209,634,827,556
  5. Step 5: Solve for x
    x = 1,209,634,827,556/505,373
  6. Step 6: Final answer
    x = 2,393,548.58

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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.