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Finding the Third Proportional to 405,684 and 865,668

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Solution

The third proportional to 405,684 and 865,668 is: 1,847,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,684 : 865,668 = 865,668 : x
  2. Step 2: Convert to fraction form
    405,684/865,668 = 865,668/x
  3. Step 3: Cross multiply
    405,684x = 865,668 × 865,668
  4. Step 4: Simplify right side
    405,684x = 749,381,086,224
  5. Step 5: Solve for x
    x = 749,381,086,224/405,684
  6. Step 6: Final answer
    x = 1,847,203.95

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Why These Related Problems?

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