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Finding the Third Proportional to 451,879 and 973,795

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Solution

The third proportional to 451,879 and 973,795 is: 2,098,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,879 : 973,795 = 973,795 : x
  2. Step 2: Convert to fraction form
    451,879/973,795 = 973,795/x
  3. Step 3: Cross multiply
    451,879x = 973,795 × 973,795
  4. Step 4: Simplify right side
    451,879x = 948,276,702,025
  5. Step 5: Solve for x
    x = 948,276,702,025/451,879
  6. Step 6: Final answer
    x = 2,098,519.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.