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Finding the Third Proportional to 451,654 and 981,307

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Solution

The third proportional to 451,654 and 981,307 is: 2,132,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,654 : 981,307 = 981,307 : x
  2. Step 2: Convert to fraction form
    451,654/981,307 = 981,307/x
  3. Step 3: Cross multiply
    451,654x = 981,307 × 981,307
  4. Step 4: Simplify right side
    451,654x = 962,963,428,249
  5. Step 5: Solve for x
    x = 962,963,428,249/451,654
  6. Step 6: Final answer
    x = 2,132,082.14

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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.