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Finding the Third Proportional to 434,256 and 942,852

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Solution

The third proportional to 434,256 and 942,852 is: 2,047,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,256 : 942,852 = 942,852 : x
  2. Step 2: Convert to fraction form
    434,256/942,852 = 942,852/x
  3. Step 3: Cross multiply
    434,256x = 942,852 × 942,852
  4. Step 4: Simplify right side
    434,256x = 888,969,893,904
  5. Step 5: Solve for x
    x = 888,969,893,904/434,256
  6. Step 6: Final answer
    x = 2,047,110.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.