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Finding the Third Proportional to 568,458 and 1,215,675

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Solution

The third proportional to 568,458 and 1,215,675 is: 2,599,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,458 : 1,215,675 = 1,215,675 : x
  2. Step 2: Convert to fraction form
    568,458/1,215,675 = 1,215,675/x
  3. Step 3: Cross multiply
    568,458x = 1,215,675 × 1,215,675
  4. Step 4: Simplify right side
    568,458x = 1,477,865,705,625
  5. Step 5: Solve for x
    x = 1,477,865,705,625/568,458
  6. Step 6: Final answer
    x = 2,599,779.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.