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Finding the Third Proportional to 631,274 and 954,442

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Solution

The third proportional to 631,274 and 954,442 is: 1,443,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,274 : 954,442 = 954,442 : x
  2. Step 2: Convert to fraction form
    631,274/954,442 = 954,442/x
  3. Step 3: Cross multiply
    631,274x = 954,442 × 954,442
  4. Step 4: Simplify right side
    631,274x = 910,959,531,364
  5. Step 5: Solve for x
    x = 910,959,531,364/631,274
  6. Step 6: Final answer
    x = 1,443,049.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.