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Finding the Third Proportional to 889,821 and 1,919,610

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Solution

The third proportional to 889,821 and 1,919,610 is: 4,141,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,821 : 1,919,610 = 1,919,610 : x
  2. Step 2: Convert to fraction form
    889,821/1,919,610 = 1,919,610/x
  3. Step 3: Cross multiply
    889,821x = 1,919,610 × 1,919,610
  4. Step 4: Simplify right side
    889,821x = 3,684,902,552,100
  5. Step 5: Solve for x
    x = 3,684,902,552,100/889,821
  6. Step 6: Final answer
    x = 4,141,172.83

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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.