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Finding the Third Proportional to 957,825 and 1,278,099

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Solution

The third proportional to 957,825 and 1,278,099 is: 1,705,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,825 : 1,278,099 = 1,278,099 : x
  2. Step 2: Convert to fraction form
    957,825/1,278,099 = 1,278,099/x
  3. Step 3: Cross multiply
    957,825x = 1,278,099 × 1,278,099
  4. Step 4: Simplify right side
    957,825x = 1,633,537,053,801
  5. Step 5: Solve for x
    x = 1,633,537,053,801/957,825
  6. Step 6: Final answer
    x = 1,705,465.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.