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Finding the Third Proportional to 3,981,824 and 6,148,764

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Solution

The third proportional to 3,981,824 and 6,148,764 is: 9,494,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981,824 : 6,148,764 = 6,148,764 : x
  2. Step 2: Convert to fraction form
    3,981,824/6,148,764 = 6,148,764/x
  3. Step 3: Cross multiply
    3,981,824x = 6,148,764 × 6,148,764
  4. Step 4: Simplify right side
    3,981,824x = 37,807,298,727,696
  5. Step 5: Solve for x
    x = 37,807,298,727,696/3,981,824
  6. Step 6: Final answer
    x = 9,494,969.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.