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Finding the Third Proportional to 623,096 and 933,606

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Solution

The third proportional to 623,096 and 933,606 is: 1,398,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,096 : 933,606 = 933,606 : x
  2. Step 2: Convert to fraction form
    623,096/933,606 = 933,606/x
  3. Step 3: Cross multiply
    623,096x = 933,606 × 933,606
  4. Step 4: Simplify right side
    623,096x = 871,620,163,236
  5. Step 5: Solve for x
    x = 871,620,163,236/623,096
  6. Step 6: Final answer
    x = 1,398,853.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.