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Finding the Third Proportional to 753,633 and 1,638,162

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Solution

The third proportional to 753,633 and 1,638,162 is: 3,560,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,633 : 1,638,162 = 1,638,162 : x
  2. Step 2: Convert to fraction form
    753,633/1,638,162 = 1,638,162/x
  3. Step 3: Cross multiply
    753,633x = 1,638,162 × 1,638,162
  4. Step 4: Simplify right side
    753,633x = 2,683,574,738,244
  5. Step 5: Solve for x
    x = 2,683,574,738,244/753,633
  6. Step 6: Final answer
    x = 3,560,850.89

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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.