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Finding the Third Proportional to 454,274 and 988,090

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Solution

The third proportional to 454,274 and 988,090 is: 2,149,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,274 : 988,090 = 988,090 : x
  2. Step 2: Convert to fraction form
    454,274/988,090 = 988,090/x
  3. Step 3: Cross multiply
    454,274x = 988,090 × 988,090
  4. Step 4: Simplify right side
    454,274x = 976,321,848,100
  5. Step 5: Solve for x
    x = 976,321,848,100/454,274
  6. Step 6: Final answer
    x = 2,149,191.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.