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Finding the Third Proportional to 1,028,126.25 and 2,227,851

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Solution

The third proportional to 1,028,126.25 and 2,227,851 is: 4,827,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,126.25 : 2,227,851 = 2,227,851 : x
  2. Step 2: Convert to fraction form
    1,028,126.25/2,227,851 = 2,227,851/x
  3. Step 3: Cross multiply
    1,028,126.25x = 2,227,851 × 2,227,851
  4. Step 4: Simplify right side
    1,028,126.25x = 4,963,320,078,201
  5. Step 5: Solve for x
    x = 4,963,320,078,201/1,028,126.25
  6. Step 6: Final answer
    x = 4,827,539.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.