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Finding the Third Proportional to 643,011 and 1,396,722

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Solution

The third proportional to 643,011 and 1,396,722 is: 3,033,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,011 : 1,396,722 = 1,396,722 : x
  2. Step 2: Convert to fraction form
    643,011/1,396,722 = 1,396,722/x
  3. Step 3: Cross multiply
    643,011x = 1,396,722 × 1,396,722
  4. Step 4: Simplify right side
    643,011x = 1,950,832,345,284
  5. Step 5: Solve for x
    x = 1,950,832,345,284/643,011
  6. Step 6: Final answer
    x = 3,033,901.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.