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Finding the Third Proportional to 383,918 and 837,712

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Solution

The third proportional to 383,918 and 837,712 is: 1,827,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,918 : 837,712 = 837,712 : x
  2. Step 2: Convert to fraction form
    383,918/837,712 = 837,712/x
  3. Step 3: Cross multiply
    383,918x = 837,712 × 837,712
  4. Step 4: Simplify right side
    383,918x = 701,761,394,944
  5. Step 5: Solve for x
    x = 701,761,394,944/383,918
  6. Step 6: Final answer
    x = 1,827,893.96

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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.