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Finding the Third Proportional to 811,231.69 and 1,261,096.31

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Solution

The third proportional to 811,231.69 and 1,261,096.31 is: 1,960,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,231.69 : 1,261,096.31 = 1,261,096.31 : x
  2. Step 2: Convert to fraction form
    811,231.69/1,261,096.31 = 1,261,096.31/x
  3. Step 3: Cross multiply
    811,231.69x = 1,261,096.31 × 1,261,096.31
  4. Step 4: Simplify right side
    811,231.69x = 1,590,363,909,401.10
  5. Step 5: Solve for x
    x = 1,590,363,909,401.10/811,231.69
  6. Step 6: Final answer
    x = 1,960,431.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.