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Finding the Third Proportional to 1,976,524 and 4,309,912

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Solution

The third proportional to 1,976,524 and 4,309,912 is: 9,397,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976,524 : 4,309,912 = 4,309,912 : x
  2. Step 2: Convert to fraction form
    1,976,524/4,309,912 = 4,309,912/x
  3. Step 3: Cross multiply
    1,976,524x = 4,309,912 × 4,309,912
  4. Step 4: Simplify right side
    1,976,524x = 18,575,341,447,744
  5. Step 5: Solve for x
    x = 18,575,341,447,744/1,976,524
  6. Step 6: Final answer
    x = 9,397,984.26

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