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Finding the Third Proportional to 821,712 and 1,794,672

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Solution

The third proportional to 821,712 and 1,794,672 is: 3,919,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,712 : 1,794,672 = 1,794,672 : x
  2. Step 2: Convert to fraction form
    821,712/1,794,672 = 1,794,672/x
  3. Step 3: Cross multiply
    821,712x = 1,794,672 × 1,794,672
  4. Step 4: Simplify right side
    821,712x = 3,220,847,587,584
  5. Step 5: Solve for x
    x = 3,220,847,587,584/821,712
  6. Step 6: Final answer
    x = 3,919,679.39

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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.