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Finding the Third Proportional to 462,942 and 982,764

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Solution

The third proportional to 462,942 and 982,764 is: 2,086,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,942 : 982,764 = 982,764 : x
  2. Step 2: Convert to fraction form
    462,942/982,764 = 982,764/x
  3. Step 3: Cross multiply
    462,942x = 982,764 × 982,764
  4. Step 4: Simplify right side
    462,942x = 965,825,079,696
  5. Step 5: Solve for x
    x = 965,825,079,696/462,942
  6. Step 6: Final answer
    x = 2,086,276.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.