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Finding the Third Proportional to 763,601 and 1,645,219

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Solution

The third proportional to 763,601 and 1,645,219 is: 3,544,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,601 : 1,645,219 = 1,645,219 : x
  2. Step 2: Convert to fraction form
    763,601/1,645,219 = 1,645,219/x
  3. Step 3: Cross multiply
    763,601x = 1,645,219 × 1,645,219
  4. Step 4: Simplify right side
    763,601x = 2,706,745,557,961
  5. Step 5: Solve for x
    x = 2,706,745,557,961/763,601
  6. Step 6: Final answer
    x = 3,544,711.91

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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.