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Finding the Third Proportional to 510,324 and 1,085,163

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Solution

The third proportional to 510,324 and 1,085,163 is: 2,307,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,324 : 1,085,163 = 1,085,163 : x
  2. Step 2: Convert to fraction form
    510,324/1,085,163 = 1,085,163/x
  3. Step 3: Cross multiply
    510,324x = 1,085,163 × 1,085,163
  4. Step 4: Simplify right side
    510,324x = 1,177,578,736,569
  5. Step 5: Solve for x
    x = 1,177,578,736,569/510,324
  6. Step 6: Final answer
    x = 2,307,511.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.