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Finding the Third Proportional to 416,564 and 862,668

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Solution

The third proportional to 416,564 and 862,668 is: 1,786,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,564 : 862,668 = 862,668 : x
  2. Step 2: Convert to fraction form
    416,564/862,668 = 862,668/x
  3. Step 3: Cross multiply
    416,564x = 862,668 × 862,668
  4. Step 4: Simplify right side
    416,564x = 744,196,078,224
  5. Step 5: Solve for x
    x = 744,196,078,224/416,564
  6. Step 6: Final answer
    x = 1,786,510.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.