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Finding the Third Proportional to 1,177,069 and 1,809,889

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Solution

The third proportional to 1,177,069 and 1,809,889 is: 2,782,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,069 : 1,809,889 = 1,809,889 : x
  2. Step 2: Convert to fraction form
    1,177,069/1,809,889 = 1,809,889/x
  3. Step 3: Cross multiply
    1,177,069x = 1,809,889 × 1,809,889
  4. Step 4: Simplify right side
    1,177,069x = 3,275,698,192,321
  5. Step 5: Solve for x
    x = 3,275,698,192,321/1,177,069
  6. Step 6: Final answer
    x = 2,782,927.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.