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Finding the Third Proportional to 460,540 and 1,028,144

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Solution

The third proportional to 460,540 and 1,028,144 is: 2,295,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,540 : 1,028,144 = 1,028,144 : x
  2. Step 2: Convert to fraction form
    460,540/1,028,144 = 1,028,144/x
  3. Step 3: Cross multiply
    460,540x = 1,028,144 × 1,028,144
  4. Step 4: Simplify right side
    460,540x = 1,057,080,084,736
  5. Step 5: Solve for x
    x = 1,057,080,084,736/460,540
  6. Step 6: Final answer
    x = 2,295,305.69

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.