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Finding the Third Proportional to 1,885,771 and 4,198,371

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Solution

The third proportional to 1,885,771 and 4,198,371 is: 9,347,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885,771 : 4,198,371 = 4,198,371 : x
  2. Step 2: Convert to fraction form
    1,885,771/4,198,371 = 4,198,371/x
  3. Step 3: Cross multiply
    1,885,771x = 4,198,371 × 4,198,371
  4. Step 4: Simplify right side
    1,885,771x = 17,626,319,053,641
  5. Step 5: Solve for x
    x = 17,626,319,053,641/1,885,771
  6. Step 6: Final answer
    x = 9,347,009.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.