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Finding the Third Proportional to 777,838 and 1,166,769

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Solution

The third proportional to 777,838 and 1,166,769 is: 1,750,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,838 : 1,166,769 = 1,166,769 : x
  2. Step 2: Convert to fraction form
    777,838/1,166,769 = 1,166,769/x
  3. Step 3: Cross multiply
    777,838x = 1,166,769 × 1,166,769
  4. Step 4: Simplify right side
    777,838x = 1,361,349,899,361
  5. Step 5: Solve for x
    x = 1,361,349,899,361/777,838
  6. Step 6: Final answer
    x = 1,750,171.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.