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Finding the Third Proportional to 431,844 and 948,712

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Solution

The third proportional to 431,844 and 948,712 is: 2,084,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,844 : 948,712 = 948,712 : x
  2. Step 2: Convert to fraction form
    431,844/948,712 = 948,712/x
  3. Step 3: Cross multiply
    431,844x = 948,712 × 948,712
  4. Step 4: Simplify right side
    431,844x = 900,054,458,944
  5. Step 5: Solve for x
    x = 900,054,458,944/431,844
  6. Step 6: Final answer
    x = 2,084,212.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.