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Finding the Third Proportional to 460,167 and 984,306

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Solution

The third proportional to 460,167 and 984,306 is: 2,105,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,167 : 984,306 = 984,306 : x
  2. Step 2: Convert to fraction form
    460,167/984,306 = 984,306/x
  3. Step 3: Cross multiply
    460,167x = 984,306 × 984,306
  4. Step 4: Simplify right side
    460,167x = 968,858,301,636
  5. Step 5: Solve for x
    x = 968,858,301,636/460,167
  6. Step 6: Final answer
    x = 2,105,449.33

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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.