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Finding the Third Proportional to 452,194.31 and 941,600.11

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Solution

The third proportional to 452,194.31 and 941,600.11 is: 1,960,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,194.31 : 941,600.11 = 941,600.11 : x
  2. Step 2: Convert to fraction form
    452,194.31/941,600.11 = 941,600.11/x
  3. Step 3: Cross multiply
    452,194.31x = 941,600.11 × 941,600.11
  4. Step 4: Simplify right side
    452,194.31x = 886,610,765,975.01
  5. Step 5: Solve for x
    x = 886,610,765,975.01/452,194.31
  6. Step 6: Final answer
    x = 1,960,685.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.