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Finding the Third Proportional to 811,863 and 1,743,433.88

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Solution

The third proportional to 811,863 and 1,743,433.88 is: 3,743,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,863 : 1,743,433.88 = 1,743,433.88 : x
  2. Step 2: Convert to fraction form
    811,863/1,743,433.88 = 1,743,433.88/x
  3. Step 3: Cross multiply
    811,863x = 1,743,433.88 × 1,743,433.88
  4. Step 4: Simplify right side
    811,863x = 3,039,561,676,497.52
  5. Step 5: Solve for x
    x = 3,039,561,676,497.52/811,863
  6. Step 6: Final answer
    x = 3,743,934.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.