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Finding the Third Proportional to 633,496 and 1,408,652

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Solution

The third proportional to 633,496 and 1,408,652 is: 3,132,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,496 : 1,408,652 = 1,408,652 : x
  2. Step 2: Convert to fraction form
    633,496/1,408,652 = 1,408,652/x
  3. Step 3: Cross multiply
    633,496x = 1,408,652 × 1,408,652
  4. Step 4: Simplify right side
    633,496x = 1,984,300,457,104
  5. Step 5: Solve for x
    x = 1,984,300,457,104/633,496
  6. Step 6: Final answer
    x = 3,132,301.48

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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.