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Finding the Third Proportional to 775,876 and 1,164,867

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Solution

The third proportional to 775,876 and 1,164,867 is: 1,748,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,876 : 1,164,867 = 1,164,867 : x
  2. Step 2: Convert to fraction form
    775,876/1,164,867 = 1,164,867/x
  3. Step 3: Cross multiply
    775,876x = 1,164,867 × 1,164,867
  4. Step 4: Simplify right side
    775,876x = 1,356,915,127,689
  5. Step 5: Solve for x
    x = 1,356,915,127,689/775,876
  6. Step 6: Final answer
    x = 1,748,881.43

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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.