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Finding the Third Proportional to 460,278 and 984,519

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Solution

The third proportional to 460,278 and 984,519 is: 2,105,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,278 : 984,519 = 984,519 : x
  2. Step 2: Convert to fraction form
    460,278/984,519 = 984,519/x
  3. Step 3: Cross multiply
    460,278x = 984,519 × 984,519
  4. Step 4: Simplify right side
    460,278x = 969,277,661,361
  5. Step 5: Solve for x
    x = 969,277,661,361/460,278
  6. Step 6: Final answer
    x = 2,105,852.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.