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Finding the Third Proportional to 451,980 and 973,149

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Solution

The third proportional to 451,980 and 973,149 is: 2,095,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,980 : 973,149 = 973,149 : x
  2. Step 2: Convert to fraction form
    451,980/973,149 = 973,149/x
  3. Step 3: Cross multiply
    451,980x = 973,149 × 973,149
  4. Step 4: Simplify right side
    451,980x = 947,018,976,201
  5. Step 5: Solve for x
    x = 947,018,976,201/451,980
  6. Step 6: Final answer
    x = 2,095,267.44

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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.