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Finding the Third Proportional to 889,832 and 1,905,769

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Solution

The third proportional to 889,832 and 1,905,769 is: 4,081,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,832 : 1,905,769 = 1,905,769 : x
  2. Step 2: Convert to fraction form
    889,832/1,905,769 = 1,905,769/x
  3. Step 3: Cross multiply
    889,832x = 1,905,769 × 1,905,769
  4. Step 4: Simplify right side
    889,832x = 3,631,955,481,361
  5. Step 5: Solve for x
    x = 3,631,955,481,361/889,832
  6. Step 6: Final answer
    x = 4,081,619.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.