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Finding the Third Proportional to 1,028,098 and 2,227,796

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Solution

The third proportional to 1,028,098 and 2,227,796 is: 4,827,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,098 : 2,227,796 = 2,227,796 : x
  2. Step 2: Convert to fraction form
    1,028,098/2,227,796 = 2,227,796/x
  3. Step 3: Cross multiply
    1,028,098x = 2,227,796 × 2,227,796
  4. Step 4: Simplify right side
    1,028,098x = 4,963,075,017,616
  5. Step 5: Solve for x
    x = 4,963,075,017,616/1,028,098
  6. Step 6: Final answer
    x = 4,827,433.78

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