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Finding the Third Proportional to 902,229 and 1,878,852

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Solution

The third proportional to 902,229 and 1,878,852 is: 3,912,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,229 : 1,878,852 = 1,878,852 : x
  2. Step 2: Convert to fraction form
    902,229/1,878,852 = 1,878,852/x
  3. Step 3: Cross multiply
    902,229x = 1,878,852 × 1,878,852
  4. Step 4: Simplify right side
    902,229x = 3,530,084,837,904
  5. Step 5: Solve for x
    x = 3,530,084,837,904/902,229
  6. Step 6: Final answer
    x = 3,912,626.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.