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Finding the Third Proportional to 1,015,428.66 and 2,205,908.44

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Solution

The third proportional to 1,015,428.66 and 2,205,908.44 is: 4,792,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,428.66 : 2,205,908.44 = 2,205,908.44 : x
  2. Step 2: Convert to fraction form
    1,015,428.66/2,205,908.44 = 2,205,908.44/x
  3. Step 3: Cross multiply
    1,015,428.66x = 2,205,908.44 × 2,205,908.44
  4. Step 4: Simplify right side
    1,015,428.66x = 4,866,032,034,633.69
  5. Step 5: Solve for x
    x = 4,866,032,034,633.69/1,015,428.66
  6. Step 6: Final answer
    x = 4,792,096.43

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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.