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Finding the Third Proportional to 812,232 and 1,782,000

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Solution

The third proportional to 812,232 and 1,782,000 is: 3,909,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,232 : 1,782,000 = 1,782,000 : x
  2. Step 2: Convert to fraction form
    812,232/1,782,000 = 1,782,000/x
  3. Step 3: Cross multiply
    812,232x = 1,782,000 × 1,782,000
  4. Step 4: Simplify right side
    812,232x = 3,175,524,000,000
  5. Step 5: Solve for x
    x = 3,175,524,000,000/812,232
  6. Step 6: Final answer
    x = 3,909,626.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.