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Finding the Third Proportional to 851,815 and 1,821,819

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Solution

The third proportional to 851,815 and 1,821,819 is: 3,896,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,815 : 1,821,819 = 1,821,819 : x
  2. Step 2: Convert to fraction form
    851,815/1,821,819 = 1,821,819/x
  3. Step 3: Cross multiply
    851,815x = 1,821,819 × 1,821,819
  4. Step 4: Simplify right side
    851,815x = 3,319,024,468,761
  5. Step 5: Solve for x
    x = 3,319,024,468,761/851,815
  6. Step 6: Final answer
    x = 3,896,414.68

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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.