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Finding the Third Proportional to 633,567 and 1,378,669

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Solution

The third proportional to 633,567 and 1,378,669 is: 3,000,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,567 : 1,378,669 = 1,378,669 : x
  2. Step 2: Convert to fraction form
    633,567/1,378,669 = 1,378,669/x
  3. Step 3: Cross multiply
    633,567x = 1,378,669 × 1,378,669
  4. Step 4: Simplify right side
    633,567x = 1,900,728,211,561
  5. Step 5: Solve for x
    x = 1,900,728,211,561/633,567
  6. Step 6: Final answer
    x = 3,000,042.95

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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.