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Finding the Third Proportional to 451,974 and 973,137

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Solution

The third proportional to 451,974 and 973,137 is: 2,095,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,974 : 973,137 = 973,137 : x
  2. Step 2: Convert to fraction form
    451,974/973,137 = 973,137/x
  3. Step 3: Cross multiply
    451,974x = 973,137 × 973,137
  4. Step 4: Simplify right side
    451,974x = 946,995,620,769
  5. Step 5: Solve for x
    x = 946,995,620,769/451,974
  6. Step 6: Final answer
    x = 2,095,243.58

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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.