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Finding the Third Proportional to 906,698 and 1,878,916

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Solution

The third proportional to 906,698 and 1,878,916 is: 3,893,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,698 : 1,878,916 = 1,878,916 : x
  2. Step 2: Convert to fraction form
    906,698/1,878,916 = 1,878,916/x
  3. Step 3: Cross multiply
    906,698x = 1,878,916 × 1,878,916
  4. Step 4: Simplify right side
    906,698x = 3,530,325,335,056
  5. Step 5: Solve for x
    x = 3,530,325,335,056/906,698
  6. Step 6: Final answer
    x = 3,893,606.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.