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Finding the Third Proportional to 985,197.94 and 2,132,321.20

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Solution

The third proportional to 985,197.94 and 2,132,321.20 is: 4,615,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,197.94 : 2,132,321.20 = 2,132,321.20 : x
  2. Step 2: Convert to fraction form
    985,197.94/2,132,321.20 = 2,132,321.20/x
  3. Step 3: Cross multiply
    985,197.94x = 2,132,321.20 × 2,132,321.20
  4. Step 4: Simplify right side
    985,197.94x = 4,546,793,713,296.45
  5. Step 5: Solve for x
    x = 4,546,793,713,296.45/985,197.94
  6. Step 6: Final answer
    x = 4,615,106.81

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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.