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Finding the Third Proportional to 2,032,193.25 and 2,992,147.88

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Solution

The third proportional to 2,032,193.25 and 2,992,147.88 is: 4,405,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,193.25 : 2,992,147.88 = 2,992,147.88 : x
  2. Step 2: Convert to fraction form
    2,032,193.25/2,992,147.88 = 2,992,147.88/x
  3. Step 3: Cross multiply
    2,032,193.25x = 2,992,147.88 × 2,992,147.88
  4. Step 4: Simplify right side
    2,032,193.25x = 8,952,948,905,867.02
  5. Step 5: Solve for x
    x = 8,952,948,905,867.02/2,032,193.25
  6. Step 6: Final answer
    x = 4,405,559.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.