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Finding the Third Proportional to 383,969 and 837,814

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Solution

The third proportional to 383,969 and 837,814 is: 1,828,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,969 : 837,814 = 837,814 : x
  2. Step 2: Convert to fraction form
    383,969/837,814 = 837,814/x
  3. Step 3: Cross multiply
    383,969x = 837,814 × 837,814
  4. Step 4: Simplify right side
    383,969x = 701,932,298,596
  5. Step 5: Solve for x
    x = 701,932,298,596/383,969
  6. Step 6: Final answer
    x = 1,828,096.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.