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Finding the Third Proportional to 633,571 and 1,378,677

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Solution

The third proportional to 633,571 and 1,378,677 is: 3,000,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,571 : 1,378,677 = 1,378,677 : x
  2. Step 2: Convert to fraction form
    633,571/1,378,677 = 1,378,677/x
  3. Step 3: Cross multiply
    633,571x = 1,378,677 × 1,378,677
  4. Step 4: Simplify right side
    633,571x = 1,900,750,270,329
  5. Step 5: Solve for x
    x = 1,900,750,270,329/633,571
  6. Step 6: Final answer
    x = 3,000,058.83

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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.