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Finding the Third Proportional to 458,334 and 984,372

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Solution

The third proportional to 458,334 and 984,372 is: 2,114,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,334 : 984,372 = 984,372 : x
  2. Step 2: Convert to fraction form
    458,334/984,372 = 984,372/x
  3. Step 3: Cross multiply
    458,334x = 984,372 × 984,372
  4. Step 4: Simplify right side
    458,334x = 968,988,234,384
  5. Step 5: Solve for x
    x = 968,988,234,384/458,334
  6. Step 6: Final answer
    x = 2,114,153.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.