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Finding the Third Proportional to 1,016,824 and 2,173,232

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Solution

The third proportional to 1,016,824 and 2,173,232 is: 4,644,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,824 : 2,173,232 = 2,173,232 : x
  2. Step 2: Convert to fraction form
    1,016,824/2,173,232 = 2,173,232/x
  3. Step 3: Cross multiply
    1,016,824x = 2,173,232 × 2,173,232
  4. Step 4: Simplify right side
    1,016,824x = 4,722,937,325,824
  5. Step 5: Solve for x
    x = 4,722,937,325,824/1,016,824
  6. Step 6: Final answer
    x = 4,644,793.32

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