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Finding the Third Proportional to 2,142,880 and 4,463,272

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Solution

The third proportional to 2,142,880 and 4,463,272 is: 9,296,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,880 : 4,463,272 = 4,463,272 : x
  2. Step 2: Convert to fraction form
    2,142,880/4,463,272 = 4,463,272/x
  3. Step 3: Cross multiply
    2,142,880x = 4,463,272 × 4,463,272
  4. Step 4: Simplify right side
    2,142,880x = 19,920,796,945,984
  5. Step 5: Solve for x
    x = 19,920,796,945,984/2,142,880
  6. Step 6: Final answer
    x = 9,296,272.75

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