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Finding the Third Proportional to 434,680 and 933,634

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Solution

The third proportional to 434,680 and 933,634 is: 2,005,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,680 : 933,634 = 933,634 : x
  2. Step 2: Convert to fraction form
    434,680/933,634 = 933,634/x
  3. Step 3: Cross multiply
    434,680x = 933,634 × 933,634
  4. Step 4: Simplify right side
    434,680x = 871,672,445,956
  5. Step 5: Solve for x
    x = 871,672,445,956/434,680
  6. Step 6: Final answer
    x = 2,005,319.88

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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.