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Finding the Third Proportional to 460,885 and 958,558

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Solution

The third proportional to 460,885 and 958,558 is: 1,993,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,885 : 958,558 = 958,558 : x
  2. Step 2: Convert to fraction form
    460,885/958,558 = 958,558/x
  3. Step 3: Cross multiply
    460,885x = 958,558 × 958,558
  4. Step 4: Simplify right side
    460,885x = 918,833,439,364
  5. Step 5: Solve for x
    x = 918,833,439,364/460,885
  6. Step 6: Final answer
    x = 1,993,628.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.