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Finding the Third Proportional to 844,960 and 1,878,837

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Solution

The third proportional to 844,960 and 1,878,837 is: 4,177,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,960 : 1,878,837 = 1,878,837 : x
  2. Step 2: Convert to fraction form
    844,960/1,878,837 = 1,878,837/x
  3. Step 3: Cross multiply
    844,960x = 1,878,837 × 1,878,837
  4. Step 4: Simplify right side
    844,960x = 3,530,028,472,569
  5. Step 5: Solve for x
    x = 3,530,028,472,569/844,960
  6. Step 6: Final answer
    x = 4,177,746.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.