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Finding the Third Proportional to 434,682 and 933,638

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Solution

The third proportional to 434,682 and 933,638 is: 2,005,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,682 : 933,638 = 933,638 : x
  2. Step 2: Convert to fraction form
    434,682/933,638 = 933,638/x
  3. Step 3: Cross multiply
    434,682x = 933,638 × 933,638
  4. Step 4: Simplify right side
    434,682x = 871,679,915,044
  5. Step 5: Solve for x
    x = 871,679,915,044/434,682
  6. Step 6: Final answer
    x = 2,005,327.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.