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Finding the Third Proportional to 451,804.50 and 973,593

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Solution

The third proportional to 451,804.50 and 973,593 is: 2,097,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,804.50 : 973,593 = 973,593 : x
  2. Step 2: Convert to fraction form
    451,804.50/973,593 = 973,593/x
  3. Step 3: Cross multiply
    451,804.50x = 973,593 × 973,593
  4. Step 4: Simplify right side
    451,804.50x = 947,883,329,649
  5. Step 5: Solve for x
    x = 947,883,329,649/451,804.50
  6. Step 6: Final answer
    x = 2,097,994.44

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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.