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Finding the Third Proportional to 623,136 and 933,672

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Solution

The third proportional to 623,136 and 933,672 is: 1,398,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,136 : 933,672 = 933,672 : x
  2. Step 2: Convert to fraction form
    623,136/933,672 = 933,672/x
  3. Step 3: Cross multiply
    623,136x = 933,672 × 933,672
  4. Step 4: Simplify right side
    623,136x = 871,743,403,584
  5. Step 5: Solve for x
    x = 871,743,403,584/623,136
  6. Step 6: Final answer
    x = 1,398,961.71

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Why These Related Problems?

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