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Finding the Third Proportional to 664,956 and 891,162

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Solution

The third proportional to 664,956 and 891,162 is: 1,194,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,956 : 891,162 = 891,162 : x
  2. Step 2: Convert to fraction form
    664,956/891,162 = 891,162/x
  3. Step 3: Cross multiply
    664,956x = 891,162 × 891,162
  4. Step 4: Simplify right side
    664,956x = 794,169,710,244
  5. Step 5: Solve for x
    x = 794,169,710,244/664,956
  6. Step 6: Final answer
    x = 1,194,319.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.