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Finding the Third Proportional to 769,902 and 1,675,266

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Solution

The third proportional to 769,902 and 1,675,266 is: 3,645,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,902 : 1,675,266 = 1,675,266 : x
  2. Step 2: Convert to fraction form
    769,902/1,675,266 = 1,675,266/x
  3. Step 3: Cross multiply
    769,902x = 1,675,266 × 1,675,266
  4. Step 4: Simplify right side
    769,902x = 2,806,516,170,756
  5. Step 5: Solve for x
    x = 2,806,516,170,756/769,902
  6. Step 6: Final answer
    x = 3,645,290.14

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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.