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Finding the Third Proportional to 476,975 and 1,036,779

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Solution

The third proportional to 476,975 and 1,036,779 is: 2,253,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,975 : 1,036,779 = 1,036,779 : x
  2. Step 2: Convert to fraction form
    476,975/1,036,779 = 1,036,779/x
  3. Step 3: Cross multiply
    476,975x = 1,036,779 × 1,036,779
  4. Step 4: Simplify right side
    476,975x = 1,074,910,694,841
  5. Step 5: Solve for x
    x = 1,074,910,694,841/476,975
  6. Step 6: Final answer
    x = 2,253,599.65

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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.