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Finding the Third Proportional to 424,842 and 926,976

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Solution

The third proportional to 424,842 and 926,976 is: 2,022,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,842 : 926,976 = 926,976 : x
  2. Step 2: Convert to fraction form
    424,842/926,976 = 926,976/x
  3. Step 3: Cross multiply
    424,842x = 926,976 × 926,976
  4. Step 4: Simplify right side
    424,842x = 859,284,504,576
  5. Step 5: Solve for x
    x = 859,284,504,576/424,842
  6. Step 6: Final answer
    x = 2,022,597.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.