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Finding the Third Proportional to 654,327 and 984,771

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Solution

The third proportional to 654,327 and 984,771 is: 1,482,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,327 : 984,771 = 984,771 : x
  2. Step 2: Convert to fraction form
    654,327/984,771 = 984,771/x
  3. Step 3: Cross multiply
    654,327x = 984,771 × 984,771
  4. Step 4: Simplify right side
    654,327x = 969,773,922,441
  5. Step 5: Solve for x
    x = 969,773,922,441/654,327
  6. Step 6: Final answer
    x = 1,482,093.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.