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Finding the Third Proportional to 1,902,424 and 3,962,312

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Solution

The third proportional to 1,902,424 and 3,962,312 is: 8,252,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,424 : 3,962,312 = 3,962,312 : x
  2. Step 2: Convert to fraction form
    1,902,424/3,962,312 = 3,962,312/x
  3. Step 3: Cross multiply
    1,902,424x = 3,962,312 × 3,962,312
  4. Step 4: Simplify right side
    1,902,424x = 15,699,916,385,344
  5. Step 5: Solve for x
    x = 15,699,916,385,344/1,902,424
  6. Step 6: Final answer
    x = 8,252,585.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.