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Finding the Third Proportional to 843,485 and 1,821,874

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Solution

The third proportional to 843,485 and 1,821,874 is: 3,935,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,485 : 1,821,874 = 1,821,874 : x
  2. Step 2: Convert to fraction form
    843,485/1,821,874 = 1,821,874/x
  3. Step 3: Cross multiply
    843,485x = 1,821,874 × 1,821,874
  4. Step 4: Simplify right side
    843,485x = 3,319,224,871,876
  5. Step 5: Solve for x
    x = 3,319,224,871,876/843,485
  6. Step 6: Final answer
    x = 3,935,132.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.