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Finding the Third Proportional to 950,943 and 2,051,694

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Solution

The third proportional to 950,943 and 2,051,694 is: 4,426,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,943 : 2,051,694 = 2,051,694 : x
  2. Step 2: Convert to fraction form
    950,943/2,051,694 = 2,051,694/x
  3. Step 3: Cross multiply
    950,943x = 2,051,694 × 2,051,694
  4. Step 4: Simplify right side
    950,943x = 4,209,448,269,636
  5. Step 5: Solve for x
    x = 4,209,448,269,636/950,943
  6. Step 6: Final answer
    x = 4,426,604.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.