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Finding the Third Proportional to 919,916 and 1,289,077

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Solution

The third proportional to 919,916 and 1,289,077 is: 1,806,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,916 : 1,289,077 = 1,289,077 : x
  2. Step 2: Convert to fraction form
    919,916/1,289,077 = 1,289,077/x
  3. Step 3: Cross multiply
    919,916x = 1,289,077 × 1,289,077
  4. Step 4: Simplify right side
    919,916x = 1,661,719,511,929
  5. Step 5: Solve for x
    x = 1,661,719,511,929/919,916
  6. Step 6: Final answer
    x = 1,806,381.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.