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Finding the Third Proportional to 753,635 and 1,638,166

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Solution

The third proportional to 753,635 and 1,638,166 is: 3,560,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,635 : 1,638,166 = 1,638,166 : x
  2. Step 2: Convert to fraction form
    753,635/1,638,166 = 1,638,166/x
  3. Step 3: Cross multiply
    753,635x = 1,638,166 × 1,638,166
  4. Step 4: Simplify right side
    753,635x = 2,683,587,843,556
  5. Step 5: Solve for x
    x = 2,683,587,843,556/753,635
  6. Step 6: Final answer
    x = 3,560,858.83

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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.