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Finding the Third Proportional to 668,849 and 1,036,809

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Solution

The third proportional to 668,849 and 1,036,809 is: 1,607,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,849 : 1,036,809 = 1,036,809 : x
  2. Step 2: Convert to fraction form
    668,849/1,036,809 = 1,036,809/x
  3. Step 3: Cross multiply
    668,849x = 1,036,809 × 1,036,809
  4. Step 4: Simplify right side
    668,849x = 1,074,972,902,481
  5. Step 5: Solve for x
    x = 1,074,972,902,481/668,849
  6. Step 6: Final answer
    x = 1,607,198.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.