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Finding the Third Proportional to 383,162 and 832,646

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Solution

The third proportional to 383,162 and 832,646 is: 1,809,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,162 : 832,646 = 832,646 : x
  2. Step 2: Convert to fraction form
    383,162/832,646 = 832,646/x
  3. Step 3: Cross multiply
    383,162x = 832,646 × 832,646
  4. Step 4: Simplify right side
    383,162x = 693,299,361,316
  5. Step 5: Solve for x
    x = 693,299,361,316/383,162
  6. Step 6: Final answer
    x = 1,809,415.76

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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.