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Finding the Third Proportional to 568,951 and 1,215,661

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Solution

The third proportional to 568,951 and 1,215,661 is: 2,597,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,951 : 1,215,661 = 1,215,661 : x
  2. Step 2: Convert to fraction form
    568,951/1,215,661 = 1,215,661/x
  3. Step 3: Cross multiply
    568,951x = 1,215,661 × 1,215,661
  4. Step 4: Simplify right side
    568,951x = 1,477,831,666,921
  5. Step 5: Solve for x
    x = 1,477,831,666,921/568,951
  6. Step 6: Final answer
    x = 2,597,467.39

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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.