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Finding the Third Proportional to 413,805 and 886,668

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Solution

The third proportional to 413,805 and 886,668 is: 1,899,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,805 : 886,668 = 886,668 : x
  2. Step 2: Convert to fraction form
    413,805/886,668 = 886,668/x
  3. Step 3: Cross multiply
    413,805x = 886,668 × 886,668
  4. Step 4: Simplify right side
    413,805x = 786,180,142,224
  5. Step 5: Solve for x
    x = 786,180,142,224/413,805
  6. Step 6: Final answer
    x = 1,899,880.72

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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.