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Finding the Third Proportional to 714,489 and 1,541,151

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Solution

The third proportional to 714,489 and 1,541,151 is: 3,324,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,489 : 1,541,151 = 1,541,151 : x
  2. Step 2: Convert to fraction form
    714,489/1,541,151 = 1,541,151/x
  3. Step 3: Cross multiply
    714,489x = 1,541,151 × 1,541,151
  4. Step 4: Simplify right side
    714,489x = 2,375,146,404,801
  5. Step 5: Solve for x
    x = 2,375,146,404,801/714,489
  6. Step 6: Final answer
    x = 3,324,258.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.