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Finding the Third Proportional to 461,348 and 991,668

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Solution

The third proportional to 461,348 and 991,668 is: 2,131,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,348 : 991,668 = 991,668 : x
  2. Step 2: Convert to fraction form
    461,348/991,668 = 991,668/x
  3. Step 3: Cross multiply
    461,348x = 991,668 × 991,668
  4. Step 4: Simplify right side
    461,348x = 983,405,422,224
  5. Step 5: Solve for x
    x = 983,405,422,224/461,348
  6. Step 6: Final answer
    x = 2,131,591.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.