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Finding the Third Proportional to 452,062.69 and 967,042.97

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Solution

The third proportional to 452,062.69 and 967,042.97 is: 2,068,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,062.69 : 967,042.97 = 967,042.97 : x
  2. Step 2: Convert to fraction form
    452,062.69/967,042.97 = 967,042.97/x
  3. Step 3: Cross multiply
    452,062.69x = 967,042.97 × 967,042.97
  4. Step 4: Simplify right side
    452,062.69x = 935,172,103,408.81
  5. Step 5: Solve for x
    x = 935,172,103,408.81/452,062.69
  6. Step 6: Final answer
    x = 2,068,677.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.