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Finding the Third Proportional to 815,879 and 1,146,909

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Solution

The third proportional to 815,879 and 1,146,909 is: 1,612,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,879 : 1,146,909 = 1,146,909 : x
  2. Step 2: Convert to fraction form
    815,879/1,146,909 = 1,146,909/x
  3. Step 3: Cross multiply
    815,879x = 1,146,909 × 1,146,909
  4. Step 4: Simplify right side
    815,879x = 1,315,400,254,281
  5. Step 5: Solve for x
    x = 1,315,400,254,281/815,879
  6. Step 6: Final answer
    x = 1,612,249.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.