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Finding the Third Proportional to 811,757.25 and 1,761,842.25

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Solution

The third proportional to 811,757.25 and 1,761,842.25 is: 3,823,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,757.25 : 1,761,842.25 = 1,761,842.25 : x
  2. Step 2: Convert to fraction form
    811,757.25/1,761,842.25 = 1,761,842.25/x
  3. Step 3: Cross multiply
    811,757.25x = 1,761,842.25 × 1,761,842.25
  4. Step 4: Simplify right side
    811,757.25x = 3,104,088,113,885.06
  5. Step 5: Solve for x
    x = 3,104,088,113,885.06/811,757.25
  6. Step 6: Final answer
    x = 3,823,911.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.