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Finding the Third Proportional to 1,204,642.76 and 1,651,891.22

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Solution

The third proportional to 1,204,642.76 and 1,651,891.22 is: 2,265,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,642.76 : 1,651,891.22 = 1,651,891.22 : x
  2. Step 2: Convert to fraction form
    1,204,642.76/1,651,891.22 = 1,651,891.22/x
  3. Step 3: Cross multiply
    1,204,642.76x = 1,651,891.22 × 1,651,891.22
  4. Step 4: Simplify right side
    1,204,642.76x = 2,728,744,598,583.36
  5. Step 5: Solve for x
    x = 2,728,744,598,583.36/1,204,642.76
  6. Step 6: Final answer
    x = 2,265,189.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.