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Finding the Third Proportional to 1,084.96 and 1,554.82

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Solution

The third proportional to 1,084.96 and 1,554.82 is: 2,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.96 : 1,554.82 = 1,554.82 : x
  2. Step 2: Convert to fraction form
    1,084.96/1,554.82 = 1,554.82/x
  3. Step 3: Cross multiply
    1,084.96x = 1,554.82 × 1,554.82
  4. Step 4: Simplify right side
    1,084.96x = 2,417,466.20
  5. Step 5: Solve for x
    x = 2,417,466.20/1,084.96
  6. Step 6: Final answer
    x = 2,228.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.