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Finding the Third Proportional to 446,997.50 and 973,790

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Solution

The third proportional to 446,997.50 and 973,790 is: 2,121,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,997.50 : 973,790 = 973,790 : x
  2. Step 2: Convert to fraction form
    446,997.50/973,790 = 973,790/x
  3. Step 3: Cross multiply
    446,997.50x = 973,790 × 973,790
  4. Step 4: Simplify right side
    446,997.50x = 948,266,964,100
  5. Step 5: Solve for x
    x = 948,266,964,100/446,997.50
  6. Step 6: Final answer
    x = 2,121,414.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.