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Finding the Third Proportional to 441,612 and 957,906

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Solution

The third proportional to 441,612 and 957,906 is: 2,077,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,612 : 957,906 = 957,906 : x
  2. Step 2: Convert to fraction form
    441,612/957,906 = 957,906/x
  3. Step 3: Cross multiply
    441,612x = 957,906 × 957,906
  4. Step 4: Simplify right side
    441,612x = 917,583,904,836
  5. Step 5: Solve for x
    x = 917,583,904,836/441,612
  6. Step 6: Final answer
    x = 2,077,805.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.