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Finding the Third Proportional to 388,146 and 848,703

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Solution

The third proportional to 388,146 and 848,703 is: 1,855,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,146 : 848,703 = 848,703 : x
  2. Step 2: Convert to fraction form
    388,146/848,703 = 848,703/x
  3. Step 3: Cross multiply
    388,146x = 848,703 × 848,703
  4. Step 4: Simplify right side
    388,146x = 720,296,782,209
  5. Step 5: Solve for x
    x = 720,296,782,209/388,146
  6. Step 6: Final answer
    x = 1,855,736.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.