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Finding the Third Proportional to 906,696 and 1,878,912

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Solution

The third proportional to 906,696 and 1,878,912 is: 3,893,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,696 : 1,878,912 = 1,878,912 : x
  2. Step 2: Convert to fraction form
    906,696/1,878,912 = 1,878,912/x
  3. Step 3: Cross multiply
    906,696x = 1,878,912 × 1,878,912
  4. Step 4: Simplify right side
    906,696x = 3,530,310,303,744
  5. Step 5: Solve for x
    x = 3,530,310,303,744/906,696
  6. Step 6: Final answer
    x = 3,893,598.63

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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.