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Finding the Third Proportional to 807,168 and 1,754,304

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Solution

The third proportional to 807,168 and 1,754,304 is: 3,812,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,168 : 1,754,304 = 1,754,304 : x
  2. Step 2: Convert to fraction form
    807,168/1,754,304 = 1,754,304/x
  3. Step 3: Cross multiply
    807,168x = 1,754,304 × 1,754,304
  4. Step 4: Simplify right side
    807,168x = 3,077,582,524,416
  5. Step 5: Solve for x
    x = 3,077,582,524,416/807,168
  6. Step 6: Final answer
    x = 3,812,815.33

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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.