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Finding the Third Proportional to 820,508 and 1,241,696

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Solution

The third proportional to 820,508 and 1,241,696 is: 1,879,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,508 : 1,241,696 = 1,241,696 : x
  2. Step 2: Convert to fraction form
    820,508/1,241,696 = 1,241,696/x
  3. Step 3: Cross multiply
    820,508x = 1,241,696 × 1,241,696
  4. Step 4: Simplify right side
    820,508x = 1,541,808,956,416
  5. Step 5: Solve for x
    x = 1,541,808,956,416/820,508
  6. Step 6: Final answer
    x = 1,879,090.71

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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.