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Finding the Third Proportional to 743,954 and 1,620,769

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Solution

The third proportional to 743,954 and 1,620,769 is: 3,530,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,954 : 1,620,769 = 1,620,769 : x
  2. Step 2: Convert to fraction form
    743,954/1,620,769 = 1,620,769/x
  3. Step 3: Cross multiply
    743,954x = 1,620,769 × 1,620,769
  4. Step 4: Simplify right side
    743,954x = 2,626,892,151,361
  5. Step 5: Solve for x
    x = 2,626,892,151,361/743,954
  6. Step 6: Final answer
    x = 3,530,987.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.