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Finding the Third Proportional to 568,736 and 1,228,678

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Solution

The third proportional to 568,736 and 1,228,678 is: 2,654,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,736 : 1,228,678 = 1,228,678 : x
  2. Step 2: Convert to fraction form
    568,736/1,228,678 = 1,228,678/x
  3. Step 3: Cross multiply
    568,736x = 1,228,678 × 1,228,678
  4. Step 4: Simplify right side
    568,736x = 1,509,649,627,684
  5. Step 5: Solve for x
    x = 1,509,649,627,684/568,736
  6. Step 6: Final answer
    x = 2,654,394.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.