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Finding the Third Proportional to 569,779 and 1,215,821

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Solution

The third proportional to 569,779 and 1,215,821 is: 2,594,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,779 : 1,215,821 = 1,215,821 : x
  2. Step 2: Convert to fraction form
    569,779/1,215,821 = 1,215,821/x
  3. Step 3: Cross multiply
    569,779x = 1,215,821 × 1,215,821
  4. Step 4: Simplify right side
    569,779x = 1,478,220,704,041
  5. Step 5: Solve for x
    x = 1,478,220,704,041/569,779
  6. Step 6: Final answer
    x = 2,594,375.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.