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Finding the Third Proportional to 1,902,426 and 3,962,316

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Solution

The third proportional to 1,902,426 and 3,962,316 is: 8,252,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,426 : 3,962,316 = 3,962,316 : x
  2. Step 2: Convert to fraction form
    1,902,426/3,962,316 = 3,962,316/x
  3. Step 3: Cross multiply
    1,902,426x = 3,962,316 × 3,962,316
  4. Step 4: Simplify right side
    1,902,426x = 15,699,948,083,856
  5. Step 5: Solve for x
    x = 15,699,948,083,856/1,902,426
  6. Step 6: Final answer
    x = 8,252,593.31

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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.