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Finding the Third Proportional to 457,193.11 and 1,004,884.73

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Solution

The third proportional to 457,193.11 and 1,004,884.73 is: 2,208,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,193.11 : 1,004,884.73 = 1,004,884.73 : x
  2. Step 2: Convert to fraction form
    457,193.11/1,004,884.73 = 1,004,884.73/x
  3. Step 3: Cross multiply
    457,193.11x = 1,004,884.73 × 1,004,884.73
  4. Step 4: Simplify right side
    457,193.11x = 1,009,793,329,379.91
  5. Step 5: Solve for x
    x = 1,009,793,329,379.91/457,193.11
  6. Step 6: Final answer
    x = 2,208,680.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.