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Finding the Third Proportional to 388,638 and 843,657

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Solution

The third proportional to 388,638 and 843,657 is: 1,831,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,638 : 843,657 = 843,657 : x
  2. Step 2: Convert to fraction form
    388,638/843,657 = 843,657/x
  3. Step 3: Cross multiply
    388,638x = 843,657 × 843,657
  4. Step 4: Simplify right side
    388,638x = 711,757,133,649
  5. Step 5: Solve for x
    x = 711,757,133,649/388,638
  6. Step 6: Final answer
    x = 1,831,414.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.