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Finding the Third Proportional to 460,175 and 984,322

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Solution

The third proportional to 460,175 and 984,322 is: 2,105,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,175 : 984,322 = 984,322 : x
  2. Step 2: Convert to fraction form
    460,175/984,322 = 984,322/x
  3. Step 3: Cross multiply
    460,175x = 984,322 × 984,322
  4. Step 4: Simplify right side
    460,175x = 968,889,799,684
  5. Step 5: Solve for x
    x = 968,889,799,684/460,175
  6. Step 6: Final answer
    x = 2,105,481.17

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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.