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Finding the Third Proportional to 485,161.50 and 1,063,743

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Solution

The third proportional to 485,161.50 and 1,063,743 is: 2,332,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,161.50 : 1,063,743 = 1,063,743 : x
  2. Step 2: Convert to fraction form
    485,161.50/1,063,743 = 1,063,743/x
  3. Step 3: Cross multiply
    485,161.50x = 1,063,743 × 1,063,743
  4. Step 4: Simplify right side
    485,161.50x = 1,131,549,170,049
  5. Step 5: Solve for x
    x = 1,131,549,170,049/485,161.50
  6. Step 6: Final answer
    x = 2,332,314.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.