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Finding the Third Proportional to 451,622.25 and 973,743.75

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Solution

The third proportional to 451,622.25 and 973,743.75 is: 2,099,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,622.25 : 973,743.75 = 973,743.75 : x
  2. Step 2: Convert to fraction form
    451,622.25/973,743.75 = 973,743.75/x
  3. Step 3: Cross multiply
    451,622.25x = 973,743.75 × 973,743.75
  4. Step 4: Simplify right side
    451,622.25x = 948,176,890,664.06
  5. Step 5: Solve for x
    x = 948,176,890,664.06/451,622.25
  6. Step 6: Final answer
    x = 2,099,491.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.