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Finding the Third Proportional to 826,441.88 and 1,263,396.38

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Solution

The third proportional to 826,441.88 and 1,263,396.38 is: 1,931,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,441.88 : 1,263,396.38 = 1,263,396.38 : x
  2. Step 2: Convert to fraction form
    826,441.88/1,263,396.38 = 1,263,396.38/x
  3. Step 3: Cross multiply
    826,441.88x = 1,263,396.38 × 1,263,396.38
  4. Step 4: Simplify right side
    826,441.88x = 1,596,170,400,363.14
  5. Step 5: Solve for x
    x = 1,596,170,400,363.14/826,441.88
  6. Step 6: Final answer
    x = 1,931,376.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.