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Finding the Third Proportional to 383,628 and 837,228

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Solution

The third proportional to 383,628 and 837,228 is: 1,827,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,628 : 837,228 = 837,228 : x
  2. Step 2: Convert to fraction form
    383,628/837,228 = 837,228/x
  3. Step 3: Cross multiply
    383,628x = 837,228 × 837,228
  4. Step 4: Simplify right side
    383,628x = 700,950,723,984
  5. Step 5: Solve for x
    x = 700,950,723,984/383,628
  6. Step 6: Final answer
    x = 1,827,162.57

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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.