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Finding the Third Proportional to 718,884 and 1,538,753

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Solution

The third proportional to 718,884 and 1,538,753 is: 3,293,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,884 : 1,538,753 = 1,538,753 : x
  2. Step 2: Convert to fraction form
    718,884/1,538,753 = 1,538,753/x
  3. Step 3: Cross multiply
    718,884x = 1,538,753 × 1,538,753
  4. Step 4: Simplify right side
    718,884x = 2,367,760,795,009
  5. Step 5: Solve for x
    x = 2,367,760,795,009/718,884
  6. Step 6: Final answer
    x = 3,293,661.84

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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.