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Finding the Third Proportional to 461,880 and 992,520

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Solution

The third proportional to 461,880 and 992,520 is: 2,132,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,880 : 992,520 = 992,520 : x
  2. Step 2: Convert to fraction form
    461,880/992,520 = 992,520/x
  3. Step 3: Cross multiply
    461,880x = 992,520 × 992,520
  4. Step 4: Simplify right side
    461,880x = 985,095,950,400
  5. Step 5: Solve for x
    x = 985,095,950,400/461,880
  6. Step 6: Final answer
    x = 2,132,796.29

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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.