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Finding the Third Proportional to 461,927 and 992,608

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Solution

The third proportional to 461,927 and 992,608 is: 2,132,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,927 : 992,608 = 992,608 : x
  2. Step 2: Convert to fraction form
    461,927/992,608 = 992,608/x
  3. Step 3: Cross multiply
    461,927x = 992,608 × 992,608
  4. Step 4: Simplify right side
    461,927x = 985,270,641,664
  5. Step 5: Solve for x
    x = 985,270,641,664/461,927
  6. Step 6: Final answer
    x = 2,132,957.46

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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.