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Finding the Third Proportional to 1,116,384 and 2,327,232

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Solution

The third proportional to 1,116,384 and 2,327,232 is: 4,851,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116,384 : 2,327,232 = 2,327,232 : x
  2. Step 2: Convert to fraction form
    1,116,384/2,327,232 = 2,327,232/x
  3. Step 3: Cross multiply
    1,116,384x = 2,327,232 × 2,327,232
  4. Step 4: Simplify right side
    1,116,384x = 5,416,008,781,824
  5. Step 5: Solve for x
    x = 5,416,008,781,824/1,116,384
  6. Step 6: Final answer
    x = 4,851,385.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.