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Finding the Third Proportional to 826,272 and 1,751,742

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Solution

The third proportional to 826,272 and 1,751,742 is: 3,713,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,272 : 1,751,742 = 1,751,742 : x
  2. Step 2: Convert to fraction form
    826,272/1,751,742 = 1,751,742/x
  3. Step 3: Cross multiply
    826,272x = 1,751,742 × 1,751,742
  4. Step 4: Simplify right side
    826,272x = 3,068,600,034,564
  5. Step 5: Solve for x
    x = 3,068,600,034,564/826,272
  6. Step 6: Final answer
    x = 3,713,789.21

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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.