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Finding the Third Proportional to 633,486 and 1,408,632

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Solution

The third proportional to 633,486 and 1,408,632 is: 3,132,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,486 : 1,408,632 = 1,408,632 : x
  2. Step 2: Convert to fraction form
    633,486/1,408,632 = 1,408,632/x
  3. Step 3: Cross multiply
    633,486x = 1,408,632 × 1,408,632
  4. Step 4: Simplify right side
    633,486x = 1,984,244,111,424
  5. Step 5: Solve for x
    x = 1,984,244,111,424/633,486
  6. Step 6: Final answer
    x = 3,132,261.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.