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Finding the Third Proportional to 1,970,170 and 4,247,924

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Solution

The third proportional to 1,970,170 and 4,247,924 is: 9,159,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,170 : 4,247,924 = 4,247,924 : x
  2. Step 2: Convert to fraction form
    1,970,170/4,247,924 = 4,247,924/x
  3. Step 3: Cross multiply
    1,970,170x = 4,247,924 × 4,247,924
  4. Step 4: Simplify right side
    1,970,170x = 18,044,858,309,776
  5. Step 5: Solve for x
    x = 18,044,858,309,776/1,970,170
  6. Step 6: Final answer
    x = 9,159,036.18

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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.