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Finding the Third Proportional to 814,404.80 and 1,229,952.94

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Solution

The third proportional to 814,404.80 and 1,229,952.94 is: 1,857,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,404.80 : 1,229,952.94 = 1,229,952.94 : x
  2. Step 2: Convert to fraction form
    814,404.80/1,229,952.94 = 1,229,952.94/x
  3. Step 3: Cross multiply
    814,404.80x = 1,229,952.94 × 1,229,952.94
  4. Step 4: Simplify right side
    814,404.80x = 1,512,784,228,464.88
  5. Step 5: Solve for x
    x = 1,512,784,228,464.88/814,404.80
  6. Step 6: Final answer
    x = 1,857,533.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.