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Finding the Third Proportional to 921,515.25 and 1,442,466.75

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Solution

The third proportional to 921,515.25 and 1,442,466.75 is: 2,257,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,515.25 : 1,442,466.75 = 1,442,466.75 : x
  2. Step 2: Convert to fraction form
    921,515.25/1,442,466.75 = 1,442,466.75/x
  3. Step 3: Cross multiply
    921,515.25x = 1,442,466.75 × 1,442,466.75
  4. Step 4: Simplify right side
    921,515.25x = 2,080,710,324,855.56
  5. Step 5: Solve for x
    x = 2,080,710,324,855.56/921,515.25
  6. Step 6: Final answer
    x = 2,257,922.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.