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Finding the Third Proportional to 2,142,384 and 2,843,232

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Solution

The third proportional to 2,142,384 and 2,843,232 is: 3,773,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,384 : 2,843,232 = 2,843,232 : x
  2. Step 2: Convert to fraction form
    2,142,384/2,843,232 = 2,843,232/x
  3. Step 3: Cross multiply
    2,142,384x = 2,843,232 × 2,843,232
  4. Step 4: Simplify right side
    2,142,384x = 8,083,968,205,824
  5. Step 5: Solve for x
    x = 8,083,968,205,824/2,142,384
  6. Step 6: Final answer
    x = 3,773,351.65

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.