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Finding the Third Proportional to 446,229 and 981,031.50

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Solution

The third proportional to 446,229 and 981,031.50 is: 2,156,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,229 : 981,031.50 = 981,031.50 : x
  2. Step 2: Convert to fraction form
    446,229/981,031.50 = 981,031.50/x
  3. Step 3: Cross multiply
    446,229x = 981,031.50 × 981,031.50
  4. Step 4: Simplify right side
    446,229x = 962,422,803,992.25
  5. Step 5: Solve for x
    x = 962,422,803,992.25/446,229
  6. Step 6: Final answer
    x = 2,156,791.25

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