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Finding the Third Proportional to 633,573 and 1,378,683

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Solution

The third proportional to 633,573 and 1,378,683 is: 3,000,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,573 : 1,378,683 = 1,378,683 : x
  2. Step 2: Convert to fraction form
    633,573/1,378,683 = 1,378,683/x
  3. Step 3: Cross multiply
    633,573x = 1,378,683 × 1,378,683
  4. Step 4: Simplify right side
    633,573x = 1,900,766,814,489
  5. Step 5: Solve for x
    x = 1,900,766,814,489/633,573
  6. Step 6: Final answer
    x = 3,000,075.47

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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.