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Finding the Third Proportional to 468,372 and 985,692

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Solution

The third proportional to 468,372 and 985,692 is: 2,074,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,372 : 985,692 = 985,692 : x
  2. Step 2: Convert to fraction form
    468,372/985,692 = 985,692/x
  3. Step 3: Cross multiply
    468,372x = 985,692 × 985,692
  4. Step 4: Simplify right side
    468,372x = 971,588,718,864
  5. Step 5: Solve for x
    x = 971,588,718,864/468,372
  6. Step 6: Final answer
    x = 2,074,395.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.