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Finding the Third Proportional to 451,976 and 973,141

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Solution

The third proportional to 451,976 and 973,141 is: 2,095,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,976 : 973,141 = 973,141 : x
  2. Step 2: Convert to fraction form
    451,976/973,141 = 973,141/x
  3. Step 3: Cross multiply
    451,976x = 973,141 × 973,141
  4. Step 4: Simplify right side
    451,976x = 947,003,405,881
  5. Step 5: Solve for x
    x = 947,003,405,881/451,976
  6. Step 6: Final answer
    x = 2,095,251.53

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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.