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Finding the Third Proportional to 721,138 and 1,538,796

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Solution

The third proportional to 721,138 and 1,538,796 is: 3,283,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,138 : 1,538,796 = 1,538,796 : x
  2. Step 2: Convert to fraction form
    721,138/1,538,796 = 1,538,796/x
  3. Step 3: Cross multiply
    721,138x = 1,538,796 × 1,538,796
  4. Step 4: Simplify right side
    721,138x = 2,367,893,129,616
  5. Step 5: Solve for x
    x = 2,367,893,129,616/721,138
  6. Step 6: Final answer
    x = 3,283,550.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.