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Finding the Third Proportional to 633,578 and 1,378,693

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Solution

The third proportional to 633,578 and 1,378,693 is: 3,000,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,578 : 1,378,693 = 1,378,693 : x
  2. Step 2: Convert to fraction form
    633,578/1,378,693 = 1,378,693/x
  3. Step 3: Cross multiply
    633,578x = 1,378,693 × 1,378,693
  4. Step 4: Simplify right side
    633,578x = 1,900,794,388,249
  5. Step 5: Solve for x
    x = 1,900,794,388,249/633,578
  6. Step 6: Final answer
    x = 3,000,095.31

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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.