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Finding the Third Proportional to 1,965,623 and 4,204,502

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Solution

The third proportional to 1,965,623 and 4,204,502 is: 8,993,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,623 : 4,204,502 = 4,204,502 : x
  2. Step 2: Convert to fraction form
    1,965,623/4,204,502 = 4,204,502/x
  3. Step 3: Cross multiply
    1,965,623x = 4,204,502 × 4,204,502
  4. Step 4: Simplify right side
    1,965,623x = 17,677,837,068,004
  5. Step 5: Solve for x
    x = 17,677,837,068,004/1,965,623
  6. Step 6: Final answer
    x = 8,993,503.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.