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Finding the Third Proportional to 442,141.88 and 954,878.63

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Solution

The third proportional to 442,141.88 and 954,878.63 is: 2,062,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,141.88 : 954,878.63 = 954,878.63 : x
  2. Step 2: Convert to fraction form
    442,141.88/954,878.63 = 954,878.63/x
  3. Step 3: Cross multiply
    442,141.88x = 954,878.63 × 954,878.63
  4. Step 4: Simplify right side
    442,141.88x = 911,793,188,481.89
  5. Step 5: Solve for x
    x = 911,793,188,481.89/442,141.88
  6. Step 6: Final answer
    x = 2,062,218.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.