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Finding the Third Proportional to 718,928 and 1,538,824

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Solution

The third proportional to 718,928 and 1,538,824 is: 3,293,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,928 : 1,538,824 = 1,538,824 : x
  2. Step 2: Convert to fraction form
    718,928/1,538,824 = 1,538,824/x
  3. Step 3: Cross multiply
    718,928x = 1,538,824 × 1,538,824
  4. Step 4: Simplify right side
    718,928x = 2,367,979,302,976
  5. Step 5: Solve for x
    x = 2,367,979,302,976/718,928
  6. Step 6: Final answer
    x = 3,293,764.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.