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Finding the Third Proportional to 661,980 and 1,428,912

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Solution

The third proportional to 661,980 and 1,428,912 is: 3,084,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,980 : 1,428,912 = 1,428,912 : x
  2. Step 2: Convert to fraction form
    661,980/1,428,912 = 1,428,912/x
  3. Step 3: Cross multiply
    661,980x = 1,428,912 × 1,428,912
  4. Step 4: Simplify right side
    661,980x = 2,041,789,503,744
  5. Step 5: Solve for x
    x = 2,041,789,503,744/661,980
  6. Step 6: Final answer
    x = 3,084,367.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.