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Finding the Third Proportional to 451,815 and 973,611

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Solution

The third proportional to 451,815 and 973,611 is: 2,098,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,815 : 973,611 = 973,611 : x
  2. Step 2: Convert to fraction form
    451,815/973,611 = 973,611/x
  3. Step 3: Cross multiply
    451,815x = 973,611 × 973,611
  4. Step 4: Simplify right side
    451,815x = 947,918,379,321
  5. Step 5: Solve for x
    x = 947,918,379,321/451,815
  6. Step 6: Final answer
    x = 2,098,023.26

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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.